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Relevant bibliographies by topics / Boundary element methods. Time-domain analysis

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Academic literature on the topic 'Boundary element methods. Time-domain analysis'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Boundary element methods. Time-domain analysis"

1

Gimperlein, Heiko, and David Stark. "Algorithmic aspects of enriched time domain boundary element methods." Engineering Analysis with Boundary Elements 100 (March 2019): 118–24. http://dx.doi.org/10.1016/j.enganabound.2018.02.010.

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Bai, Xiaoyong, and Ronald Y. S. Pak. "On the stability of direct time-domain boundary element methods for elastodynamics." Engineering Analysis with Boundary Elements 96 (November 2018): 138–49. http://dx.doi.org/10.1016/j.enganabound.2018.08.001.

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Nintcheu Fata, S. "Treatment of domain integrals in boundary element methods." Applied Numerical Mathematics 62, no. 6 (June 2012): 720–35. http://dx.doi.org/10.1016/j.apnum.2010.07.003.

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Ingber, Marc S., John A. Tanski, and Paul Alsing. "A domain decomposition tool for boundary element methods." Engineering Analysis with Boundary Elements 31, no. 11 (November 2007): 890–96. http://dx.doi.org/10.1016/j.enganabound.2007.03.002.

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Sarkis, Marcus, and Xuemin Tu. "Singular Function Mortar Finite Element Methods." Computational Methods in Applied Mathematics 3, no. 1 (2003): 202–18. http://dx.doi.org/10.2478/cmam-2003-0014.

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AbstractWe consider the Poisson equation with Dirichlet boundary conditions on a polygonal domain with one reentrant corner. We introduce new nonconforming finite element discretizations based on mortar techniques and singular functions. The main idea introduced in this paper is the replacement of cut-off functions by mortar element techniques on the boundary of the domain. As advantages, the new discretizations do not require costly numerical integrations and have smaller a priori error estimates and condition numbers. Based on such an approach, we prove optimal accuracy error bounds for the discrete solution. Based on such techniques, we also derive new extraction formulas for the stress intensive factor. We establish optimal accuracy for the computed stress intensive factor. Numerical examples are presented to support our theory.

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Providakis, Costas P., and Dimitri E. Beskos. "Dynamic Analysis of Plates by Boundary Elements." Applied Mechanics Reviews 52, no. 7 (July 1, 1999): 213–36. http://dx.doi.org/10.1115/1.3098936.

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A review of boundary element methods for the numerical treatment of free and forced vibrations of flexural plates is presented. The integral formulation and the corresponding numerical solution from the direct boundary element method viewpoint are described for elastic or inelastic flexural plates experiencing small deformations. When the material is elastic the formulation can be either in the frequency or the time domain in conjunction with the elastodynamic or the elastostatic fundamental solution of the corresponding flexural plate problem. When use is made of the elastodynamic fundamental solution, the discretization is essentially restricted to the perimeter of the plate, while an interior discretization in addition to the boundary one is needed when the elastostatic fundamental solution is employed in the formulation. However, the great simplicity of the elastostatic fundamental solution leads eventually to more efficient schemes. Besides, through dual reciprocity techniques one can again restrict the discretization to the plate perimeter. Free vibrations are solved by the determinant method when use is made of the elastodynamic fundamental solution, or by generalized eigenvalue analysis when use is made of the elastostatic fundamental solution. Forced vibrations are solved either in the frequency domain in conjunction with Fourier or Laplace transform or the time domain in conjunction with a step-by-step time integration. When the material is inelastic the problem is formulated incrementally in the time domain in conjunction with the elastostatic fundamental solution and the plate response is obtained through step-by-step time integration. Special formulations such as indirect, Green’s function, symmetric, dual and multiple reciprocity, or boundary collocation ones are also reviewed. Effects such as those of corners, viscoelasticity, anisotropy, inhomogeneity, in-plane forces, shear deformation and rotatory inertia, variable thickness, internal supports, elastic foundation and large defections are discussed as well. Representative numerical examples serve to illustrate boundary element methods and demonstrate their advantages over other numerical methods. This review article includes 150 references.

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Beskos, Dimitri E. "Boundary Element Methods in Dynamic Analysis." Applied Mechanics Reviews 40, no. 1 (January 1, 1987): 1–23. http://dx.doi.org/10.1115/1.3149529.

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A review of boundary element methods for the numerical solution of dynamic problems of linear elasticity is presented. The integral formulation and the corresponding numerical solution of three- and two-dimensional elastodynamics from the direct boundary element method viewpoint and in both the frequency and time domains are described. The special case of the anti-plane motion governed by the scalar wave equation is also considered. In all the cases both harmonic and transient dynamic disturbances are taken into account. Special features of material behavior such as viscoelasticity, inhomogeneity, anisotropy, and poroelasticity are briefly discussed. Some other nonconventional boundary element methods as well as the hybrid scheme that results from the combination of boundary and finite elements are also reviewed. All these boundary element methodologies are applied to: soil-structure interaction problems that include the dynamic analysis of underground and above-ground structures, foundations, piles, and vibration isolation devices; problems of crack propagation and wave diffraction by cracks; and problems dealing with the dynamics of beams, plates, and shells. Finally, a brief assessment of the progress achieved so far in dynamic analysis is made and areas where further research is needed are identified.

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Fukuhara, Mio, Ryota Misawa, Kazuki Niino, and Naoshi Nishimura. "Stability of boundary element methods for the two dimensional wave equation in time domain revisited." Engineering Analysis with Boundary Elements 108 (November 2019): 321–38. http://dx.doi.org/10.1016/j.enganabound.2019.08.015.

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Mei, Tian-Long, Teng Zhang, Maxim Candries, Evert Lataire, and Zao-Jian Zou. "Comparative study on ship motions in waves based on two time domain boundary element methods." Engineering Analysis with Boundary Elements 111 (February 2020): 9–21. http://dx.doi.org/10.1016/j.enganabound.2019.10.013.

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Ingber, Marc S., Andrea A. Mammoli, and Mary J. Brown. "A comparison of domain integral evaluation techniques for boundary element methods." International Journal for Numerical Methods in Engineering 52, no. 4 (October 10, 2001): 417–32. http://dx.doi.org/10.1002/nme.217.

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Dissertations / Theses on the topic "Boundary element methods. Time-domain analysis"

1

雷哲翔 and Zhexiang Lei. "Time domain boundary element method & its applications." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1993. http://hub.hku.hk/bib/B31233703.

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Lei, Zhexiang. "Time domain boundary element method & its applications /." [Hong Kong : University of Hong Kong], 1993. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13570365.

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Tang, W. "A generalized approach for transforming domain integrals into boundary integrals in boundary element methods." Thesis, University of Southampton, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.378981.

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Zhao, Kezhong. "A domain decomposition method for solving electrically large electromagnetic problems." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1189694496.

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Wassef, Karim N. "Nonlinear transient finite element analysis of conductive and ferromagnetic regions using a surface admittance boundary condition." Diss., Georgia Institute of Technology, 1999. http://hdl.handle.net/1853/13318.

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Hagdahl, Stefan. "Hybrid Methods for Computational Electromagnetics in Frequency Domain." Doctoral thesis, Stockholm : Numerisk analys och datalogi (NADA) ; Tekniska högsk, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-400.

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Chu, Chin-keung. "Parallel computation for time domain boundary element method /." Hong Kong : University of Hong Kong, 1999. http://sunzi.lib.hku.hk/hkuto/record.jsp?B20565574.

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朱展強 and Chin-keung Chu. "Parallel computation for time domain boundary element method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1999. http://hub.hku.hk/bib/B31220678.

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Rickard, Yotka. "Improved absorbing boundary conditions for time-domain methods in electromagnetics /." *McMaster only, 2002.

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Marais, Neilen. "Efficient high-order time domain finite element methods in electromagnetics." Thesis, Stellenbosch : University of Stellenbosch, 2009. http://hdl.handle.net/10019.1/1499.

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Thesis (DEng (Electrical and Electronic Engineering))--University of Stellenbosch, 2009.
The Finite Element Method (FEM) as applied to Computational Electromagnetics (CEM), can beused to solve a large class of Electromagnetics problems with high accuracy and good computational efficiency. For solving wide-band problems time domain solutions are often preferred; while time domain FEM methods are feasible, the Finite Difference Time Domain (FDTD) method is more commonly applied. The FDTD is popular both for its efficiency and its simplicity. The efficiency of the FDTD stems from the fact that it is both explicit (i.e. no matrices need to be solved) and second order accurate in both time and space. The FDTD has limitations when dealing with certain geometrical shapes and when electrically large structures are analysed. The former limitation is caused by stair-casing in the geometrical modelling, the latter by accumulated dispersion error throughout the mesh. The FEM can be seen as a general mathematical framework describing families of concrete numerical method implementations; in fact the FDTD can be described as a particular FETD (Finite Element Time Domain) method. To date the most commonly described FETD CEM methods make use of unstructured, conforming meshes and implicit time stepping schemes. Such meshes deal well with complex geometries while implicit time stepping is required for practical numerical stability. Compared to the FDTD, these methods have the advantages of computational efficiency when dealing with complex geometries and the conceptually straight forward extension to higher orders of accuracy. On the downside, they are much more complicated to implement and less computationally efficient when dealing with regular geometries. The FDTD and implicit FETD have been combined in an implicit/explicit hybrid. By using the implicit FETD in regions of complex geometry and the FDTD elsewhere the advantages of both are combined. However, previous work only addressed mixed first order (i.e. second order accurate) methods. For electrically large problems or when very accurate solutions are required, higher order methods are attractive. In this thesis a novel higher order implicit/explicit FETD method of arbitrary order in space is presented. A higher order explicit FETD method is implemented using Gauss-Lobatto lumping on regular Cartesian hexahedra with central differencing in time applied to a coupled Maxwell’s equation FEM formulation. This can be seen as a spatially higher order generalisation of the FDTD. A convolution-free perfectly matched layer (PML) method is adapted from the FDTD literature to provide mesh termination. A curl conforming hybrid mesh allowing the interconnection of arbitrary order tetrahedra and hexahedra without using intermediate pyramidal or prismatic elements is presented. An unconditionally stable implicit FETD method is implemented using Newmark-Beta time integration and the standard curl-curl FEM formulation. The implicit/explicit hybrid is constructed on the hybrid hexahedral/tetrahedral mesh using the equivalence between the coupled Maxwell’s formulation with central differences and the Newmark-Beta method with Beta = 0 and the element-wise implicitness method. The accuracy and efficiency of this hybrid is numerically demonstrated using several test-problems.

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Books on the topic "Boundary element methods. Time-domain analysis"

1

Li, Jichun. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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Hesthaven, J. S. High-order/spectral methods on unstructured grids. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2001.

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Dzhamay, Anton, Christopher W. Curtis, Willy A. Hereman, and B. Prinari. Nonlinear wave equations: Analytic and computational techniques : AMS Special Session, Nonlinear Waves and Integrable Systems : April 13-14, 2013, University of Colorado, Boulder, CO. Providence, Rhode Island: American Mathematical Society, 2015.

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Li, Jichun, and Yunqing Huang. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials. Springer, 2015.

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Li, Jichun, and Yunqing Huang. Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials. Springer, 2012.

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6

I, Warburton, and Institute for Computer Applications in Science and Engineering., eds. High-order/spectral methods on unstructured grids. Hampton, VA: ICASE, National Aeronautics and Space Administration, Langley Research Center, 2001.

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I, Warburton, and Institute for Computer Applications in Science and Engineering., eds. High-order/spectral methods on unstructured grids. Hampton, VA: ICASE, National Aeronautics and Space Administration, Langley Research Center, 2001.

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Book chapters on the topic "Boundary element methods. Time-domain analysis"

1

Dominguez, J., and R. Gallego. "Time Domain Boundary Element Analysis of Two-Dimensional Crack Problems." In Boundary Element Methods in Engineering, 362–68. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84238-2_44.

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Park, J. H., H. M. Koh, and J. Kim. "Fluid-Structure Interaction Analysis by a Coupled Boundary Element-Finite Element Method in Time Domain." In Boundary Element Technology VII, 227–43. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2872-8_16.

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Tosaka, N., M. Nonaka, and S. Miyake. "Bifurcation Analysis of Elastic Shallow Arch by the Boundary-Domain Element Method." In Boundary Element Methods in Engineering, 286–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84238-2_35.

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Kakuda, K., and N. Tosaka. "Boundary Element Analysis of Viscous Fluid Flow Problems Using the Time Splitting Method." In Boundary Element Methods in Engineering, 87–93. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84238-2_12.

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Pérez, Cristian, and Reinhold Schneider. "Wavelet Galerkin Methods for Boundary Integral Equations and the Coupling with Finite Element Methods." In Wavelet Transforms and Time-Frequency Signal Analysis, 145–79. Boston, MA: Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0137-3_6.

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Zhang, Ch, and A. Savaidis. "Dynamic Crack Analysis by Hypersingular and Non-Hypersingular Time-Domain BEM." In IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method, 419–28. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9793-7_35.

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Antes, H. "Dynamic Interaction Analysis in Wave Propagation Problems by a Time-Dependent Boundary Element Method." In Discretization Methods in Structural Mechanics, 105–14. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-49373-7_10.

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Yang, Z. J., A. J. Deeks, and H. Hong. "A Frequency-Domain Approach for Transient Dynamic Analysis Using Scaled Boundary Finite Element Method (I): Approach and Validation." In Computational Methods in Engineering & Science, 256. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-48260-4_102.

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Yang, Z. J., A. J. Deeks, and H. Hong. "A Frequency-Domain Approach for Transient Dynamic Analysis Using Scaled Boundary Finite Element Method (II): Application to Fracture Problems." In Computational Methods in Engineering & Science, 257. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-48260-4_103.

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Fukui, T., and K. Tani. "Stability of Time Domain Boundary Element Method in Wave Propagation Problems." In Boundary Element Methods, 82–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-06153-4_10.

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Conference papers on the topic "Boundary element methods. Time-domain analysis"

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Dong, Ming, Ping Li, and Hakan Bagci. "An Explicit Time Domain Finite Element Boundary Integral Method with Element Level Domain Decomposition for Electromagnetic Scattering Analysis." In 2020 14th European Conference on Antennas and Propagation (EuCAP). IEEE, 2020. http://dx.doi.org/10.23919/eucap48036.2020.9135349.

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sousa, kerlles rafael pereira, and Éder Lima de Albuquerque. "DYNAMIC ANALYSIS OF STRUCTURES UNDER SENSITIVITY OF THE TIME STEPS BY THE BOUNDARY ELEMENT METHOD." In XXXVIII Iberian-Latin American Congress on Computational Methods in Engineering. Florianopolis, Brazil: ABMEC Brazilian Association of Computational Methods in Engineering, 2017. http://dx.doi.org/10.20906/cps/cilamce2017-0028.

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Yang, M. D., and B. Teng. "Coupled Dynamic Analysis of a Moored Spar Platform in Time Domain." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20697.

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A time-domain simulation method is developed for the coupled dynamic analysis of a spar platform with mooring lines. For the hydrodynamic loads, a time domain second order method is developed. In this approach, Taylor series expansions are applied to the body surface boundary condition and the free surface boundary condition, and Stokes perturbation procedure is then used to establish corresponding boundary value problems with time-independent boundaries. A higher order boundary element method is developed to calculate the velocity potential of the resulting flow field at each time step. The free-surface boundary condition is satisfied to the second order by 4th order Adams-Bashforth-Moultn method. An artificial damping layer is adopted on the free surface to avoid the wave reflection. For the mooring-line dynamics, a geometrically nonlinear finite element method using isoparametric cable element based on the total Lagrangian formulation is developed. In the coupled dynamic analysis, the motion equation for the hull and dynamic equations for mooring lines are solved simultaneously using Newmark method. Numerical results including motions and tensions in the mooring lines are presented.

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Kaljević, Igor, and Sunil Saigal. "A Review of the Developments in the Boundary Element Method for Time-Domain Elastodynamics." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0480.

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Abstract The boundary element formulations for two-dimensional time-domain transient elastodynamics are reviewed in this paper. Several improvements of present formulations regarding the numerical integration of boundary element kernels and analysis of symmetric domains are presented. The deterministic transient formulations are next applied for analyzing problems with spatially random boundary conditions. The deficiencies of the present formulations are summarized and possible improvements are suggested.

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Zhou, J. X., and T. G. Davies. "A space-time boundary element method for 3D elastodynamic analysis." In BOUNDARY ELEMENT METHOD 2006. Southampton, UK: WIT Press, 2006. http://dx.doi.org/10.2495/be06030.

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Venkatesh, Jayantheeswar, Anders Thorin, and Mathias Legrand. "Nonlinear Modal Analysis of a One-Dimensional Bar Undergoing Unilateral Contact via the Time-Domain Boundary Element Method." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-68340.

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Finite elements in space with time-stepping numerical schemes, even though versatile, face theoretical and numerical difficulties when dealing with unilateral contact conditions. In most cases, an impact law has to be introduced to ensure the uniqueness of the solution: total energy is either not preserved or spurious high-frequency oscillations arise. In this work, the Time Domain Boundary Element Method (TD-BEM) is shown to overcome these issues on a one-dimensional system undergoing a unilateral Signorini contact condition. Unilateral contact is implemented by switching between free boundary conditions (open gap) and fixed boundary conditions (closed gap). The solution method does not numerically dissipate energy unlike the Finite Element Method and properly captures wave fronts, allowing for the search of periodic solutions. Indeed, TD-BEM relies on fundamental solutions which are travelling Heaviside functions in the considered one-dimensional setting. The proposed formulation is capable of capturing main, subharmonic as well as internal resonance backbone curves useful to the vibration analyst. For the system of interest, the nonlinear modeshapes are piecewise-linear unseparated functions of space and time, as opposed to the linear modeshapes that are separated half sine waves in space and full sine waves in time.

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Clark, Brett W., and David C. Anderson. "Finite Element Analysis in 3D Using the Penalty Boundary Method." In ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/detc2002/dac-34068.

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Traditional methods for applying boundary conditions in finite element analysis require the mesh to conform to the geometry boundaries. This in turn requires complex meshing algorithms for automated mesh generation from CAD geometry, particularly when using quadrilateral and hexahedral elements. The 3D extension of the penalty boundary method (PBM) is presented as a method that significantly reduces the time required generating finite element models because the mesh is not required to conform to the CAD geometry. The PBM employs penalty methods to apply boundary conditions on a simple, regular mesh. The PBM also eliminates discretization error because boundary conditions are applied using CAD geometry directly rather than an approximation of the geometry.

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Kumar, Ashok V., Ravi Burla, Sanjeev Padmanabhan, and Linxia Gu. "Finite Element Analysis Using Non-Conforming Mesh." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35693.

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A method for engineering analysis using a regular or structured grid is described which does not require a conforming mesh to approximate the geometry of the analysis domain. The geometry of the domain is represented using implicit equations and a structured grid is used to approximate the solution. Solution structures are constructed using implicit equations such that the essential boundary conditions are satisfied exactly. The use of structured grid eliminates the need to generate a conforming mesh and thus reduces time taken to create models for analysis. This approach is used to solve boundary value problems arising in thermal and structural analysis. Convergence analysis is performed for several numerical examples and the results are compared with analytical and finite element analysis solutions to show that the method gives solutions that are similar to the finite element method in quality but is often less computationally expensive.

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Scuciato, Raphael Fernando, José Antonio Marques Carrer, and Webe Mansur. "THE TIME-DEPENDENT BOUNDARY ELEMENT METHOD FORMULATION APPLIED TO DYNAMIC ANALYSIS OF EULER-BERNOULLI BEAMS: THE LINEAR THETA METHOD." In XXXVI Iberian Latin American Congress on Computational Methods in Engineering. Rio de Janeiro, Brazil: ABMEC Brazilian Association of Computational Methods in Engineering, 2015. http://dx.doi.org/10.20906/cps/cilamce2015-0233.

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Vendhan, C. P., P. Sunny Kumar, and P. Krishnankutty. "Finite Element Analysis of Nonlinear Water Wave-Body Interaction: Computational Issues." In ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/omae2012-83553.

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Design of floating structures exposed to water waves often requires nonlinear analysis because of high wave steepness and large body motion. In this context, Mixed Eulerian-Lagrangian (MEL) methods for nonlinear water wave problems based on the potential flow theory have been studied extensively. Here, the Laplace equation with Dirichlet boundary condition on the free surface is solved using the boundary integral method, and a time integration method is used to find the particle displacements and velocity potential on the free surface. Finite element methods based on the MEL formulation have been developed in the 90s. Several researchers have pursued this approach, addressing the various challenges thrown open, such as velocity computation, pressure computation on moving surfaces, remeshing of the computational domain, smoothing and imposition of radiation condition. Apart from these, the implementation of the FE model in particular involves several computational issues such as element property computation, solution of large banded matrix equations, and efficient organization of computer storage, all of which are crucial for the computational tool to become successful. A study of these aspects constitutes the primary focus of the present work. The authors have recently developed a 3-D FE model employing the MEL formulation, which has been applied to predict waves in a flume and basin. The fluid domain is discretized using 20-node hexahedral elements. The free surface equations are solved in the time domain employing the three-point Adams-Bashforth method. Validation of the numerical model and relative computation times for salient steps in the FE model are discussed in the paper.

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