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Journal articles on the topic 'Boundary element method (BEM)'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

MUKHERJEE, SUBRATA, and YIJUN LIU. "THE BOUNDARY ELEMENT METHOD." International Journal of Computational Methods 10, no. 06 (2013): 1350037. http://dx.doi.org/10.1142/s0219876213500370.

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The boundary element method (BEM), along with the finite element and finite difference methods, is commonly used to carry out numerical simulations in a wide variety of subjects in science and engineering. The BEM, rooted in classical mathematics of integral equations, started becoming a useful computational tool around 50 years ago. Many researchers have worked on computational aspects of this method during this time.This paper presents an overview of the BEM and related methods. It has three sections. The first, relatively short section, presents the governing equations for classical applica

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Gui, Hai Lian, Qing Xue Huang, Ya Qin Tian, and Zhi Bing Chu. "Application Incompatible Element in Mixed Fast Multipole Boundary Element Method." Key Engineering Materials 439-440 (June 2010): 80–85. http://dx.doi.org/10.4028/www.scientific.net/kem.439-440.80.

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Based on fast multipole boundary element method (FM-BEM) and mixed variational inequality, a new method named mixed fast multipole boundary element method (MFM-BEM) was presented in this paper. In order to improve calculation time and accuracy, incompatible elements as interpolation functions were used in the algorithm. Elements were optimized by mixed incompatible elements and compatible elements. On the one hand, the difficult to satisfy precise coordinate was avoided which caused by compatible elements; on the other hand, the merits of MFM-BEM were retained. Through analysis of example, it

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3

Wang, Yingjun, Xiaowei Deng, Qifu Wang, Zhaohui Xia, and Hua Xu. "Boundary Condition Related Mixed Boundary Element and its Application in FMBEM for 3D Elastostatic Problem." International Journal of Computational Methods 12, no. 05 (2015): 1550029. http://dx.doi.org/10.1142/s0219876215500292.

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A boundary condition (BC) related mixed element method is presented to address the corner problem in boundary element method (BEM) for 3D elastostatic problems. In this method, noncontinuous elements (NCEs) are only used at the displacement-prescribed corners/edges and continuous elements (CEs) in other places, which can decrease the degrees of freedom (DOFs) compared to the approach using NCEs at all corners/edges. Moreover, an automatic generation algorithm of BC related mixed linear triangular elements is implemented with the help of 3D modeling engine ACIS, and the boundary element analysi

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4

Huang, Xi Yong, and M. H. Aliabadi. "A Boundary Element Method for Structural Reliability." Key Engineering Materials 627 (September 2014): 453–56. http://dx.doi.org/10.4028/www.scientific.net/kem.627.453.

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In this paper a sensitivity formulation using the Boundary Element Method (BEM) is presentedfor analysis of structural reliability problems. The sensitivity formulation is based on implicit differentiation method where the first and second order derivatives of the random variables are obtained directly by differentiation of the discretised boundary integral equation. The structural reliability is assessed using the Monte Carlo Method and FORM with BEM sensitivity parameters. A benchmark example is presented to demonstrate the accuracy and efficiency of the BEM for both Monte Carlo and Sensitiv

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Kirkup. "The Boundary Element Method in Acoustics: A Survey." Applied Sciences 9, no. 8 (2019): 1642. http://dx.doi.org/10.3390/app9081642.

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The boundary element method (BEM) in the context of acoustics or Helmholtz problems is reviewed in this paper. The basis of the BEM is initially developed for Laplace’s equation. The boundary integral equation formulations for the standard interior and exterior acoustic problems are stated and the boundary element methods are derived through collocation. It is shown how interior modal analysis can be carried out via the boundary element method. Further extensions in the BEM in acoustics are also reviewed, including half-space problems and modelling the acoustic field surrounding thin screens.

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Tang, Yongzhuang, Qidou Zhou, Xiaowei Wang, and Zhiyong Xie. "A Computational Method for Acoustic Interaction with Large Complicated Underwater Structures Based on the Physical Mechanism of Structural Acoustics." Advances in Materials Science and Engineering 2022 (December 31, 2022): 1–18. http://dx.doi.org/10.1155/2022/3631241.

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A numerical coupling approach is proposed to fast predict the acoustic radiation from a vibrating large-complicated underwater structure. In this study, the physical mechanism of sound radiation from underwater large target is used for the first time to improve the efficiency and keep the accuracy of the numerical algorithm. Although the traditional coupled finite element method/boundary element method (FEM-BEM) is accurate, it contains a large number of boundary elements and thus requires a long computation time for large-complicated structures. The research on the physical mechanism of struc

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7

Chan, Cho Lik. "Boundary Element Method Analysis for the Bioheat Transfer Equation." Journal of Biomechanical Engineering 114, no. 3 (1992): 358–65. http://dx.doi.org/10.1115/1.2891396.

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In this paper, the boundary element method (BEM) approach is applied to solve the Pennes (1948) bioheat equation. The objective is to develop the BEM formulation and demonstrate its feasibility. The basic BEM formulations for the transient and steady-state cases are first presented. To demonstrate the usefulness of the BEM approach, numerical solutions for 2-D steady-state problems are obtained and compared to analytical solutions. Further, the BEM formulation is applied to model a conjugate problem for an artery imbedded in a perfused heated tissue. Analytical solution is possible when the co

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8

Huang, Qing Xue, Hai Lian Gui, Fei Fan, and Tao Song. "Analysis of the Mill Roller Bearing Using Mixed Fast Multipole Boundary Element Method." Advanced Materials Research 145 (October 2010): 159–64. http://dx.doi.org/10.4028/www.scientific.net/amr.145.159.

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A new method named mixed fast multipole boundary element (MFM-BEM) is introduced in this paper to solve the contact problem of mill roller bearing. Incompatible elements and compatible elements are used to construct shape functions in non-contact area and contact area. On the one hand, MFM-BEM avoids satisfying the conditions of precise coordination in compatible elements, on the other hand, this method retains the merits of fast multipole boundary element method (FM-BEM). Through numerical examples, it clearly demonstrates that the calculation time and accuracy are improved. MFM-BEM provides

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9

Shen, Guangxian, Xuedao Shu, and Ming Li. "Three-Dimensional Contact Boundary Element Method for Roller Bearing." Journal of Applied Mechanics 72, no. 6 (2005): 962–65. http://dx.doi.org/10.1115/1.2041662.

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The analysis of the forces and the rigidity of roller bearings is a multi-body contact problem, so it cannot be solved by contact boundary element method (BEM) for two elastic bodies. Based on the three-dimensional elastic contact BEM, according to the character of roller bearing, the new solution given in this paper replaces the roller body with a plate element and traction subelement. Linear elements are used in non-contact areas and a quadratic element is used in the contact area. The load distribution among the roller bodies and the load status in the inner rolling body can be extracted.

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Elleithy, Wael. "Multi-Domain Analysis by FEM-BEM Coupling and BEM-DD Part I: Formulation and Implementation." Applied Mechanics and Materials 353-356 (August 2013): 3263–68. http://dx.doi.org/10.4028/www.scientific.net/amm.353-356.3263.

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Several existing interface relaxation methods for finite element–boundary element coupling (FEM–BEM) and for boundary element–domain decomposition (BEM–DD) are reviewed. Furthermore, an interface relaxation method for BEM–DD is presented. This is Part I of two papers. In Part II, the convergence conditions of the interface relaxation FEM-BEM coupling and BEM-DD method are established. Example application is given for elaboration

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11

Kwon, T. H. "Mold Cooling System Design Using Boundary Element Method." Journal of Engineering for Industry 110, no. 4 (1988): 384–94. http://dx.doi.org/10.1115/1.3187898.

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Cooling system design in injection molding industries is of great importance because it significantly affects productivity and the quality of the final part. It would thus be very helpful for mold designers to be able to use a computer aided design tool in determining locations of cooling channels and process conditions to achieve uniform cooling and minimum cooling time. Towards this goal, the Boundary Element Method (BEM) has been applied to develop a system of computer aided cooling system design programs: (a) an interactive design program using a two-dimensional BEM and (b) a cooling analy

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12

Tian, Wanyi, Lingyun Yao, and Li Li. "A Coupled Smoothed Finite Element-Boundary Element Method for Structural-Acoustic Analysis of Shell." Archives of Acoustics 42, no. 1 (2017): 49–59. http://dx.doi.org/10.1515/aoa-2017-0006.

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Abstract Nowadays, the finite element method (FEM) - boundary element method (BEM) is used to predict the performance of structural-acoustic problem, i.e. the frequency response analysis, modal analysis. The accuracy of conventional FEM/BEM for structural-acoustic problems strongly depends on the size of the mesh, element quality, etc. As element size gets greater and distortion gets severer, the deviation of high frequency problem is also clear. In order to improve the accuracy of structural-acoustic problem, a smoothed finite-element/boundary-element coupling procedure (SFEM/BEM) is extended

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13

Yu, G. Y. "A Symmetric Boundary Element Method/Finite Element Method Coupling Procedure for Two-Dimensional Elastodynamic Problems." Journal of Applied Mechanics 70, no. 3 (2003): 451–54. http://dx.doi.org/10.1115/1.1571856.

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In this paper, a symmetric collocation boundary element method (SCBEM)/finite element method (FEM) coupling procedure is given and applied to a two-dimensional elastodynamic problem. The use of symmetry for the boundary element method not only saves memory storage but also enables the employment of efficient symmetric equation solvers. This is especially important for BEM/FEM coupling procedure. Compared with the symmetric Galerkin boundary element method (SGBEM) where double-space integration should be carried out, SCBEM is easier and faster.

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Liu, Chong Xi. "Boundary Element Method for Crack Analysis in Two-Dimension Anisotropic Solid." Applied Mechanics and Materials 423-426 (September 2013): 1627–31. http://dx.doi.org/10.4028/www.scientific.net/amm.423-426.1627.

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The derivation and calculation of crack problems by using boundary element method (BEM) are presented. When calculating the node displacement, the displacement boundary integral equations are superseded by stress boundary integral equation, then a simplifier computational process is generated. Stress field and displacement field around the straight crack are calculated by using both BEM and Abaqus methods. Furthermore, the stress intensity factor (SIF) was achieved from the solution. A good agreement is found between the BEM and Abaqus results, proved that BEM is a reliable method to calculate

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15

Pańczyk, Maciej, and Jan Sikora. "BOUNDARY ELEMENT METHOD MODYFICATIONS FOR USE IN SOME IMPEDANCE AND OPTICAL TOMOGRAPHY APPLICATIONS." Informatics Control Measurement in Economy and Environment Protection 7, no. 1 (2017): 0. http://dx.doi.org/10.5604/01.3001.0010.4606.

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The article presents two elements associated with the practice of application of the boundary element method. The first is associated with BEM ability to analyze an open boundary objects and application of infinite boundary elements in the area of mammography. The second element is associated with the damped wall investigations. Wall humidity and moisture represents heterogeneous environment (Functionally Graded Materials) which has to be treated in a special way.

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Łukasik, Edyta, Beata Pańczyk, and Jan Sikora. "CALCULATION OF THE IMPROPER INTEGRALS FOR FOURIER BOUNDARY ELEMENT METHOD." Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska 3, no. 3 (2013): 7–10. http://dx.doi.org/10.35784/iapgos.1454.

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The traditional Boundary Element Method (BEM) is a collection of numerical techniques for solving some partial differential equations. The classical BEM produces a fully populated coefficients matrix. With Galerkin Boundary Element Method (GBEM) is possible to produce a symmetric coefficients matrix. The Fourier BEM is a more general numerical approach. To calculate the final matrix coefficients it is necessary to find the improper integrals. The article presents the method for calculation of such integrals.

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Elleithy, Wael. "Multi-Domain Analysis by FEM-BEM Coupling and BEM-DD Part II: Convergence." Applied Mechanics and Materials 353-356 (August 2013): 3269–75. http://dx.doi.org/10.4028/www.scientific.net/amm.353-356.3269.

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In Part I of this paper, a mixed Dirichlet-Neumann interface relaxation method for boundary element–domain decomposition (BEM–DD) is presented. In this part, the convergence conditions of the mixed Dirichlet-Neumann interface relaxation finite element-boundary element coupling (FEM–BEM) and for BEM–DD method are established.

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18

Son, Jae-hyeon, and Yooil Kim. "A Study on Plate Bending Analysis Using Boundary Element Method." Journal of Ocean Engineering and Technology 36, no. 4 (2022): 232–42. http://dx.doi.org/10.26748/ksoe.2022.015.

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<i>This study presents a method for level ice-structure interaction analysis to estimate the fatigue damage of arctic structures by applying plate theory to the behavior of level ice. The boundary element method (BEM), which incurs a lower computational cost than the finite element method (FEM), was introduced to solve the plate bending problem. The BEM formulation was performed by applying the BEM to plate theory. Finally, to check the validity of the proposed method, the BEM results and FEM results obtained using the ABAQUS commercial software were compared. The response results of the

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19

Seybert, A. F., and C. Y. R. Cheng. "Application of the Boundary Element Method to Acoustic Cavity Response and Muffler Analysis." Journal of Vibration and Acoustics 109, no. 1 (1987): 15–21. http://dx.doi.org/10.1115/1.3269388.

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This paper is concerned with the application of the Boundary Element Method (BEM) to interior acoustics problems governed by the reduced wave (Helmholtz) differential equation. The development of an integral equation valid at the boundary of the interior region follows a similar formulation for exterior problems, except for interior problems the Sommerfeld radiation condition is not invoked. The boundary integral equation for interior problems does not suffer from the nonuniqueness difficulty associated with the boundary integral equation formulation for exterior problems. The boundary integra

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20

Natarajan, Sundararajan, and Chandramouli Padmanabhan. "Scaled Boundary Finite Element Method for Mid-Frequency Acoustics of Cavities." Journal of Theoretical and Computational Acoustics 29, no. 01 (2021): 2150001. http://dx.doi.org/10.1142/s2591728521500018.

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In this paper, a semi-analytical framework, based on the scaled boundary finite element method (SBFEM), is proposed, to study interior acoustic problems in the mid-frequency range in two and three dimensions. The SBFEM shares the advantages of both the finite element method (FEM) and the boundary element method (BEM). Like the FEM, it does not require the fundamental solution (Green’s function) and similar to the BEM only the boundary is discretized, thus reducing the spatial dimensionality by one. The solution within the domain is represented analytically, while on the boundary, it is represe

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Mužík, Juraj, and Roman Bulko. "Regularized singular boundary method for groundwater flow in a cofferdam." MATEC Web of Conferences 196 (2018): 03025. http://dx.doi.org/10.1051/matecconf/201819603025.

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The boundary integral methods form one group of methods for solving differential equations. The boundary element method (BEM) is the basic method of this group. However, it requires the boundary mesh of elements and the evaluation of improper singular integrals, that arise due to fundamental solution singularity. Therefore, boundary meshless methods have recently have come into focus to remove these shortcomings. One of the most promising boundary collocation numerical schemes is the singular boundary method (SBM). To tackle the singularity of the fundamental solution, this method adopts the c

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22

Elleithy, Wael, and Lau Teck Leong. "Some Recent Developments in Coupling of Finite Element and Boundary Element Methods - Part I: An Overview." Applied Mechanics and Materials 580-583 (July 2014): 2936–42. http://dx.doi.org/10.4028/www.scientific.net/amm.580-583.2936.

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Conventional and a class of domain decomposition finite element–boundary element coupling (FEM–BEM) methods are reviewed. This is Part I of two papers. In Part II, a review of the mixed Dirichlet-Neumann domain decomposition FEM-BEM coupling method is presented and optimal dynamic values of the relaxation parameters for the mixed Dirichlet-Neumann FEM-BEM coupling method are, furthermore, derived.

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Liu, Xiujuan, Haijun Wu, and Weikang Jiang. "Hybrid Approximation Hierarchical Boundary Element Methods for Acoustic Problems." Journal of Computational Acoustics 25, no. 03 (2017): 1750013. http://dx.doi.org/10.1142/s0218396x17500138.

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A multipole expansion approximation boundary element method (MEA BEM) based on the hierarchical matrices (H-matrices) and the multipole expansion theory was proposed previously. Though the MEA BEM can obtain higher accuracy than the adaptive cross-approximation BEM (ACA BEM), it demands more CPU time and memory than the ACA BEM does. To alleviate this problem, in this paper, two hybrid BEMs are developed taking advantage of the high efficiency and low memory consumption property of the ACA BEM and the high accuracy advantage of the MEA BEM. Numerical examples are elaborately set up to compare

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Gui, Hai Lian, and Qing Xue Huang. "The Mixed Fast Multipole Boundary Element Method for Solving Strip Cold Rolling Process." Applied Mechanics and Materials 20-23 (January 2010): 76–81. http://dx.doi.org/10.4028/www.scientific.net/amm.20-23.76.

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Based on fast multipole boundary element method (FM-BEM) and mixed variational inequality, a new numerical method named mixed fast multipole boundary element method (MFM-BEM) was presented in this paper for solving three-dimensional elastic-plastic contact problems. Mixed boundary integral equation (MBIE) was the foundation of MFM-BEM and obtained by mixed variational inequality. In order to adapt the requirement of fast multipole method (FMM), Taylor series expansion was used in discrete MBIE. In MFM-BEM the calculation time was significant decreased, the calculation accuracy and continuity w

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Piscoya, Rafael, and Martin Ochmann. "Acoustical Boundary Elements: Theory and Virtual Experiments." Archives of Acoustics 39, no. 4 (2015): 453–65. http://dx.doi.org/10.2478/aoa-2014-0049.

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Abstract This paper presents an overview of basic concepts, features and difficulties of the boundary element method (BEM) and examples of its application to exterior and interior problems. The basic concepts of the BEM are explained firstly, and different methods for treating the non-uniqueness problem are described. The application of the BEM to half-space problems is feasible by considering a Green's Function that satisfies the boundary condition on the infinite plane. As a special interior problem, the sound field in an ultrasonic homogenizer is computed. A combination of the BEM and the f

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Rymarczyk, Tomasz, Paweł Tchórzewski, and Jan Sikora. "DETECTION OF AIR GAPS IN COPPER-MINE CEILING BY ELECTRICAL IMPEDANCE TOMOGRAPHY." Informatics Control Measurement in Economy and Environment Protection 7, no. 1 (2017): 84–87. http://dx.doi.org/10.5604/01.3001.0010.4590.

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In this paper, we investigate the inverse problem for the electric field so-called copper mine problem. In general, this task assumes detection of all air gaps. Gaps are localised above ceiling in a copper mine. Such task can be considered as application of the electrical impedance tomography. In order to solve forward problem there was used the boundary element method or the finite element method. The inverse problem is based on the level set method. There was considered extension of boundary element method (BEM). For simplicity zero order approximation has been chosen. The BEM has been conne

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Cheng, Changzheng, Zhilin Han, Zhongrong Niu, and Hongyu Sheng. "A state space boundary element method for elasticity of functionally graded materials." Engineering Computations 34, no. 8 (2017): 2614–33. http://dx.doi.org/10.1108/ec-10-2016-0351.

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Purpose The state space method (SSM) is good at analyzing the interfacial physical quantities in laminated materials, while it has difficulty in calculating the mechanical quantities of interior points, which can be easily evaluated by the boundary element method (BEM). However, the material has to be divided into many subdomains when the traditional BEM is applied to analyze the functionally graded material (FGM), so that the computational amount will be increased enormously. This study aims to couple these two methods to strengthen their advantages and overcome their disadvantages. Design/me

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Li, Li Jun, Xian Yue Gang, Hong Yan Li, Shan Chai, and Ying Zi Xu. "Study on Numerical Methods for Acoustic Radiation of Open Structure." Key Engineering Materials 439-440 (June 2010): 692–97. http://dx.doi.org/10.4028/www.scientific.net/kem.439-440.692.

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For acoustic radiation of open thin-walled structure, it was difficult to analyze directly by analytical method. The problem could be solved by several numerical methods. This paper had studied the basic theory of the numerical methods as FEM (Finite Element Method), BEM (Boundary Element Method) and IFEM (Infinite Element Method), and the numerical methods to solve open structure radiation problem. Under the premise of structure-acoustic coupling, this paper analyzed the theory and flow of the methods on acoustic radiation of open structure, including IBEM (Indirect Boundary Element Method),

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Yıldırım, Selçuk. "Exact and Numerical Solutions of Poisson Equation for Electrostatic Potential Problems." Mathematical Problems in Engineering 2008 (2008): 1–11. http://dx.doi.org/10.1155/2008/578723.

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Homotopy perturbation method (HPM) and boundary element method (BEM) for calculating the exact and numerical solutions of Poisson equation with appropriate boundary and initial conditions are presented. Exact solutions of electrostatic potential problems defined by Poisson equation are found using HPM given boundary and initial conditions. The same problems are also solved using the BEM. The cell integration approach is used for solving Poisson equation by BEM. The problem region containing the charge density is subdivided into triangular elements. In addition, this paper presents a numerical

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Zhu, Song-Ping, and Yinglong Zhang. "A comparative study of the direct boundary element method and the dual reciprocity boundary element method in solving the Helmholtz equation." ANZIAM Journal 49, no. 1 (2007): 131–50. http://dx.doi.org/10.1017/s1446181100012724.

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In this paper, we compare the direct boundary element method (BEM) and the dual reciprocity boundary element method (DRBEM) for solving the direct interior Helmholtz problem, in terms of their numerical accuracy and efficiency, as well as their applicability and reliability in the frequency domain. For BEM formulation, there are two possible choices for fundamental solutions, which can lead to quite different conclusions in terms of their reliability in the frequency domain. For DRBEM formulation, it is shown that although the DBREM can correctly predict eigenfrequencies even for higher modes,

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Kurz, Stefan, Dirk Pauly, Dirk Praetorius, Sergey Repin, and Daniel Sebastian. "Functional a posteriori error estimates for boundary element methods." Numerische Mathematik 147, no. 4 (2021): 937–66. http://dx.doi.org/10.1007/s00211-021-01188-6.

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AbstractFunctional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work proposes a first functional error estimate for the boundary element method (BEM). One key feature is that the derived error estimates are independent of the BEM discretization and provide guaranteed lower and upper bounds for the unknown error. In particular, our analysis covers Galerkin BEM and the collocation method, what makes the approach of particular interest for scientific computations and engineering a

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Rashed, Youssef F. "Boundary Element Analysis of Coupled Continuum and Skeletal Structures." Advances in Structural Engineering 10, no. 4 (2007): 415–38. http://dx.doi.org/10.1260/136943307783239363.

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This paper presents a new technique for solving coupled continuum and skeletal structures. The technique is based on employing the well-known flexibility and stiffness methods within the boundary element method (BEM). The analyzed problem is divided into: continuum parts, which are modeled using the BEM and skeletal parts which are modeled using the flexibility or stiffness methods. The main idea of the presented technique is to set up a methodology to generate flexibility or stiffness matrices for the continuum parts using the BEM. To do so, several flexibility and stiffness models are develo

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Zhang, Jiacheng, Haixu Zhang, and Zining Liu. "Heat transfer comparison investigation of the permanent magnet synchronous motor for electric vehicles based on the boundary element method and the finite element method." Thermal Science, no. 00 (2023): 167. http://dx.doi.org/10.2298/tsci230522167z.

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In the field of heat transfer in permanent magnet synchronous motors (PMSMs) for electric vehicles (EVs), the boundary element method (BEM) has been applied for the first time to calculate the steady-state temperature of the PMSM with a spiral water-cooled system. In this investigation, the boundary-integration equation (BIE) for the steady-state heat transfer problem of a water-cooled PMSM is first derived on the basis of thermodynamic theory, and the system of constant coefficient differential equations is obtained by discretizing its boundaries, while the temperature results obtained from t

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WANG, Yewewei, and Guangzheng YU. "Mesh registration-based boundary element method of head-related transfer function: unification of hair impedance boundary conditions." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 270, no. 10 (2024): 1506–13. http://dx.doi.org/10.3397/in_2024_2981.

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In the calculation of Head-Related Transfer Functions (HRTFs) using the Boundary Element Method (BEM), the head surface of a subject needs to be discretized into boundary elements with specific impedance. To simplify HRTF calculation, a method for coupling Mesh Registration and BEM (MR-BEM) is proposed in this work, which means that a template mesh for calculation is established to register and generate the calculation mesh of a new head model, to replace the tedious operations of boundary conditions configuration. To validate the proposed method, the widely-used KEMAR artificial head model wa

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Marburg, Steffen, Stefan Schneider, and Has‐Juergen Hardtke. "Iterative solution techniques for boundary element method (BEM) equations." Journal of the Acoustical Society of America 112, no. 5 (2002): 2381. http://dx.doi.org/10.1121/1.4779681.

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Chen, Leilei, Wenchang Zhao, Cheng Liu, and Haibo Chen. "2D Structural Acoustic Analysis Using the FEM/FMBEM with Different Coupled Element Types." Archives of Acoustics 42, no. 1 (2017): 37–48. http://dx.doi.org/10.1515/aoa-2017-0005.

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Abstract A FEM-BEM coupling approach is used for acoustic fluid-structure interaction analysis. The FEM is used to model the structure and the BEM is used to model the exterior acoustic domain. The aim of this work is to improve the computational efficiency and accuracy of the conventional FEM-BEM coupling approach. The fast multipole method (FMM) is applied to accelerating the matrix-vector products in BEM. The Burton-Miller formulation is used to overcome the fictitious eigen-frequency problem when using a single Helmholtz boundary integral equation for exterior acoustic problems. The contin

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Chandra, A., and S. Mukherjee. "A Boundary Element Analysis of Metal Extrusion Processes." Journal of Applied Mechanics 54, no. 2 (1987): 335–40. http://dx.doi.org/10.1115/1.3173016.

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The subject of this paper is an analysis of metal extrusion processes by the boundary element method (BEM). It is demonstrated here that the BEM can be used to analyze, efficiently and accurately, this complicated class of problems including both material and geometrical nonlinearities. Numerical results for sample problems of plane extrusion of aluminum bars, obtained by the BEM, are presented and discussed in this paper. The BEM results are compared against FEM results for the same sample problems. The FEM results were reported by the authors in a previous publication.

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Ilincic, S., G. Vorlaufer, P. A. Fotiu, A. Vernes, and F. Franek. "Combined finite element-boundary element method modelling of elastic multi-asperity contacts." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 223, no. 5 (2009): 767–76. http://dx.doi.org/10.1243/13506501jet542.

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A novel formulation of elastic multi-asperity contacts based on the boundary element method (BEM) is presented for the first time, in which the influence coefficients are numerically calculated using a finite element method (FEM). The main advantage of computing the influence coefficients in this manner is that it makes it also possible to consider an arbitrary load direction and multilayer systems of different mechanical properties in each layer. Furthermore, any form of anisotropy can be modelled too, where Green's functions either become very complicated or are not available at all. The res

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LIU, E., A. DOBSON, D. M. PAN, and D. H. YANG. "THE MATRIX FORMULATION OF BOUNDARY INTEGRAL MODELING OF ELASTIC WAVE PROPAGATION IN 2D MULTI-LAYERED MEDIA WITH IRREGULAR INTERFACES." Journal of Computational Acoustics 16, no. 03 (2008): 381–96. http://dx.doi.org/10.1142/s0218396x08003634.

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A semi-analytic method based on the propagation matrix formulation of indirect boundary element method to compute response of elastic (and acoustic) waves in multi-layered media with irregular interfaces is presented. The method works recursively starting from the top-most free surface at which a stress-free boundary condition is applied, and the displacement-stress boundary conditions are then subsequently applied at each interface. The basic idea behind this method is the matrix formulation of the propagation matrix (PM) or more recently the reflectivity method as wide used in the geophysics

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Proulx, François, Alain Berry, and Philippe-Aubert Gauthier. "Auralization of Finite-Element and Boundary Element Vibroacoustic Models With Wave Field Synthesis." Journal of the Audio Engineering Society 73, no. 7/8 (2025): 446–60. https://doi.org/10.17743/jaes.2022.0205.

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Wave field synthesis (WFS) is a spatial audio method that allows for auralization over an extended listening space and for a multi-listener experience. WFS is generally only suitable for simple compact sources and canonical extended virtual sources. It is not yet fully adapted to auralize complex radiating objects modeled via numerical methods, such as the finite element method (FEM) and the boundary element method (BEM). The authors propose an auralization workflow combining either FEM or BEM with WFS, for both coupled (vibroacoustic) and uncoupled (vibration) problems. General expressions ar

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Fedelinski, Piotr. "Computer Modelling of Dynamic Fracture Experiments." Key Engineering Materials 454 (December 2010): 113–25. http://dx.doi.org/10.4028/www.scientific.net/kem.454.113.

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In this work the time-domain boundary element method (BEM) is applied to simulate dynamic fracture experiments. The fast fracture is modelled by adding new boundary elements at the crack tip. The direction of crack growth is perpendicular to the direction of maximum circumferencial stress. The time dependent loading of specimens and velocities of crack growth are taken from experiments as input data for computer simulations. The method is used to analyze: a short beam specimen, a special mixed-mode specimen and a three-point bend specimen subjected to impact loads. The dynamic stress intensity

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Preuss, Simone. "A fast multipole boundary element method for acoustics in viscothermal fluids." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 267, no. 1 (2023): 326–29. http://dx.doi.org/10.3397/no_2023_0071.

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Standard numerical models in acoustics rely on the isentropic Helmholtz equation. Its derivation assumes adiabatic and reversible, i.e., dissipation-free, wave propagation. Sound waves in fluids are, however, subject to viscous and thermal losses. These losses originate from viscous friction and heat conduction, leading to the formation of acoustic boundary layers. Considering these effects becomes significant in setups with acoustic cavities of similar dimension as the boundary layers. Recently, boundary element methods (BEM) accounting for the viscothermal dissipation have been proposed. The

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Wurzinger, Andreas, Florian Kraxberger, Paul Maurerlehner, et al. "Experimental Prediction Method of Free-Field Sound Emissions Using the Boundary Element Method and Laser Scanning Vibrometry." Acoustics 6, no. 1 (2024): 65–82. http://dx.doi.org/10.3390/acoustics6010004.

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Acoustic emissions play a major role in the usability of many product categories. Therefore, mitigating the emitted sound directly at the source is paramount to improve usability and customer satisfaction. To reliably predict acoustic emissions, numerical methods such as the boundary element method (BEM) are employed, which allow for predicting, e.g., the acoustic emission into the free field. BEM algorithms need appropriate boundary conditions to couple the sound field with the structural motion of the vibrating body. In this contribution, firstly, an interpolation scheme is presented, which

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CHEN, Z. S., and H. WAUBKE. "A FORMULATION OF THE BOUNDARY ELEMENT METHOD FOR ACOUSTIC RADIATION AND SCATTERING FROM TWO-DIMENSIONAL STRUCTURES." Journal of Computational Acoustics 15, no. 03 (2007): 333–52. http://dx.doi.org/10.1142/s0218396x07003305.

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A code for the boundary element method (BEM) for two-dimensional acoustic radiation and scattering problems is developed. To overcome the singularity problem of the integral equations at characteristic frequencies, the Burton–Miller method is employed in the formulation. The integral equations are then discretized by using the two-nodal constant elements and a collocation procedure. The hyper and weakly singular integrals in each element containing the collocation points are computed analytically and numerically respectively (stark singularity does not appear). In outdoor acoustic, the ground

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Gerges, Samir N. Y., and Arlinton João Calza. "Acoustic Barriers: Analytical Methods, Boundary Element Method and Experimental Verification." Building Acoustics 9, no. 3 (2002): 167–90. http://dx.doi.org/10.1260/135101002320815666.

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The use of acoustic barriers has become a common solution to control and reduce the nuisance caused by transportation noise (e.g. highways, railroads, and aircraft). Acoustic barriers can be defined as any solid obstacle that blocks the straight line between sound source and receptor creating an acoustic shadow region behind. The precise prediction of acoustic barrier behaviour has been the goal of researchers, but the complexity of the phenomenon prevents generality. Many theoretical models are available but they are limited to particular cases. The main objective of this work is to carry out

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Aiello, Giovanni, Salvatore Alfonzetti, and Nunzio Salerno. "Solution of skin-effect problems by means of the hybrid SDBCI method." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33, no. 6 (2014): 1935–49. http://dx.doi.org/10.1108/compel-12-2013-0441.

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Purpose – The purpose of this paper is to present a modified version of the hybrid Finite Element Method-Dirichlet Boundary Condition Iteration method for the solution of open-boundary skin effect problems. Design/methodology/approach – The modification consists of overlapping the truncation and the integration boundaries of the standard method, so that the integral equation becomes singular as in the well-known Finite Element Method-Boundary Element Method (FEM-BEM) method. The new method is called FEM-SDBCI. Assuming an unknown Dirichlet condition on the truncation boundary, the global algeb

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Goates, Cory, and Douglas Hunsaker. "A Novel, Direct Matrix Solver for Supersonic Boundary Element Method Systems." Aerospace 11, no. 12 (2024): 1018. https://doi.org/10.3390/aerospace11121018.

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For problems with very fine surface meshes, typically the most time-consuming step of a boundary element method (BEM, also called a panel method) is solving the final linear system of equations. Many have already studied how to efficiently solve the dense, asymmetric systems which arise in elliptic BEMs. However, this has not been studied for a supersonic aerodynamic BEM, for which the governing PDE is hyperbolic. Due to this hyperbolic character, the matrix equation which arises from a supersonic BEM has a large number of identically zero elements. But the resulting linear system of equations

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Wang, Junpeng, Jinyou Xiao, and Lihua Wen. "A Numerical Method for Estimating the Nonlinear Eigenvalue Numbers of Boundary Element." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 37, no. 1 (2019): 28–34. http://dx.doi.org/10.1051/jnwpu/20193710028.

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Recently, some new proposed methods for solving nonlinear eigenvalue problems (NEPs) have promoted the development of large-scale modal analysis using BEM. However, the efficiency and robustness of such methods are generally still dependent on input parameters, especially on the parameters related to the number of eigenvalues to be solved. This limitation obviously restricts the popularization of the practical engineering application of modal analysis using BEM. Therefore, this paper develops a numerical method for estimating the number of nonlinear eigenvalues of the boundary element method.

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Yu, Chun Xiao, Hai Yuan Yu, and Yi Ming Chen. "A Fast Multipole Boundary Element Method Based on Legendre Series for Three-Dimensional Potential Problems." Advanced Materials Research 468-471 (February 2012): 426–29. http://dx.doi.org/10.4028/www.scientific.net/amr.468-471.426.

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Vectorization expressions of a Fast Multipole Boundary Element Method (FM-BEM) based on Legendre series are presented for three-dimensional (3-D) potential problems. The formulas are applied to the expression of fundamental solutions for the Boundary Element Method(BEM). Truncation errors of the multipole expansion and local expansion are deduced and analyzed. It shows that the errors can be controlled by truncation terms.

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Petrov, Andrey, Sergey Aizikovich, and Leonid A. Igumnov. "Modeling of Wave Propagation in the Unsaturated Soils Using Boundary Element Method." Key Engineering Materials 743 (July 2017): 158–61. http://dx.doi.org/10.4028/www.scientific.net/kem.743.158.

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Problems of wave propagation in poroelastic bodies and media are considered. The behavior of the poroelastic medium is described by Biot theory for partially saturated material. Mathematical model is written in term of five basic functions – elastic skeleton displacements, pore water pressure and pore air pressure. Boundary element method (BEM) is used with step method of numerical inversion of Laplace transform to obtain the solution. Research is based on direct boundary integral equation of three-dimensional isotropic linear theory of poroelasticity. Green’s matrices and, based on it, bounda

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