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Journal articles on the topic 'Method of reduced elements'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Okuzono, Takeshi, Toru Otsuru, Reiji Tomiku, and Noriko Okamoto. "A finite-element method using dispersion reduced spline elements for room acoustics simulation." Applied Acoustics 79 (May 2014): 1–8. http://dx.doi.org/10.1016/j.apacoust.2013.12.010.

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2

Maday, Yvon, and Einar M. Rønquist. "A reduced-basis element method." Comptes Rendus Mathematique 335, no. 2 (2002): 195–200. http://dx.doi.org/10.1016/s1631-073x(02)02427-5.

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3

Schauer, Volker, and Christian Linder. "The reduced basis method in all-electron calculations with finite elements." Advances in Computational Mathematics 41, no. 5 (2014): 1035–47. http://dx.doi.org/10.1007/s10444-014-9374-z.

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Matveev, Aleksandr. "Generating finite element method in constructing complex-shaped multigrid finite elements." EPJ Web of Conferences 221 (2019): 01029. http://dx.doi.org/10.1051/epjconf/201922101029.

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The calculations of three-dimensional composite bodies based on the finite element method with allowance for their structure and complex shape come down to constructing high-dimension discrete models. The dimension of discrete models can be effectively reduced by means of multigrid finite elements (MgFE). This paper proposes a generating finite element method for constructing two types of three-dimensional complex-shaped composite MgFE, which can be briefly described as follows. An MgFE domain of the first type is obtained by rotating a specified complex-shaped plane generating single-grid fin

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Schillinger, Dominik, John A. Evans, Felix Frischmann, René R. Hiemstra, Ming-Chen Hsu, and Thomas J. R. Hughes. "A collocatedC0finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics." International Journal for Numerical Methods in Engineering 102, no. 3-4 (2014): 576–631. http://dx.doi.org/10.1002/nme.4783.

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6

Fan, Xueling, Ying Li, Wenxv Ding, and Jianli Zhao. "$ \mathcal{H} $-representation method for solving reduced biquaternion matrix equation." Mathematical Modelling and Control 2, no. 2 (2022): 65–74. http://dx.doi.org/10.3934/mmc.2022008.

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<abstract><p>In this paper, we study the Hankel and Toeplitz solutions of reduced biquaternion matrix equation (1.1). Using semi-tensor product of matrices, the reduced biquaternion matrix equation (1.1) can be transformed into a general matrix equation of the form $ AX = B $. Then, due to the special structure of Hankel matrix and Toeplitz matrix, the independent elements of Hankel matrix or Toeplitz matrix can be extracted by combing the $ \mathcal{H} $-representation method of matrix, so as to reduce the elements involved in the operation in the process of solving matrix equatio

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Boukouvala, Fani, Yijie Gao, Fernando Muzzio, and Marianthi G. Ierapetritou. "Reduced-order discrete element method modeling." Chemical Engineering Science 95 (May 2013): 12–26. http://dx.doi.org/10.1016/j.ces.2013.01.053.

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8

Bazinas, Vassilios, and Bent Nielsen. "Causal Transmission in Reduced-Form Models." Econometrics 10, no. 2 (2022): 14. http://dx.doi.org/10.3390/econometrics10020014.

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We propose a method to explore the causal transmission of an intervention through two endogenous variables of interest. We refer to the intervention as a catalyst variable. The method is based on the reduced-form system formed from the conditional distribution of the two endogenous variables given the catalyst. The method combines elements from instrumental variable analysis and Cholesky decomposition of structural vector autoregressions. We give conditions for uniqueness of the causal transmission.

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Drake, Dow, Jay Gopalakrishnan, and Ammar Harb. "Reduced test spaces for DPG methods using rectangular elements." Computers & Mathematics with Applications 74, no. 8 (2017): 1955–63. http://dx.doi.org/10.1016/j.camwa.2017.06.046.

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ARNOLD, DOUGLAS N., GERARD AWANOU, and RAGNAR WINTHER. "NONCONFORMING TETRAHEDRAL MIXED FINITE ELEMENTS FOR ELASTICITY." Mathematical Models and Methods in Applied Sciences 24, no. 04 (2014): 783–96. http://dx.doi.org/10.1142/s021820251350067x.

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This paper presents a nonconforming finite element approximation of the space of symmetric tensors with square integrable divergence, on tetrahedral meshes. Used for stress approximation together with the full space of piecewise linear vector fields for displacement, this gives a stable mixed finite element method which is shown to be linearly convergent for both the stress and displacement, and which is significantly simpler than any stable conforming mixed finite element method. The method may be viewed as the three-dimensional analogue of a previously developed element in two dimensions. As

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Sapaev, X., E. Abduraimov, and Sh Umarov. "NUMERICAL CALCULATION OF ELECTRONIC CIRCUITS WITH NONLINEAR ELEMENTS." Technical science and innovation 2020, no. 4 (2020): 122–29. http://dx.doi.org/10.51346/tstu-01.20.4-77-0095.

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Non-linear elements are widely used in various automation devices, converting and measuring equipment. They are often presented in the form of diode-resistive circuits. In single-circuit electrical circuits, their calculation by a numerical method reduces to compiling nonlinear equations and solving it using the Newton-Raphson method with specifying reasonable initial conditions for the calculation. The article is aimed at determining the dimensions of the Jacobi matrix in numerical calculations of nonlinear chains. Using the example of numerical calculation of two simplest schemes with nonlin

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Vu-quoc, L., and C. Hoff. "On a highly robust spurious-mode filtering method for uniformly reduced-integrated shell elements." International Journal for Numerical Methods in Engineering 34, no. 1 (1992): 209–20. http://dx.doi.org/10.1002/nme.1620340113.

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13

Ho, Shi-Pin, and Yen-Liang Yeh. "THE USE OF ENRICHED HEXAHEDRAL ELEMENTS WITH BUBBLE FUNCTIONS FOR FINITE ELEMENT ANALYSIS." Transactions of the Canadian Society for Mechanical Engineering 30, no. 4 (2006): 495–509. http://dx.doi.org/10.1139/tcsme-2006-0032.

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In this paper, the concept that adds the interior nodes of the Lagrange elements to the serendipity elements is described and a family of enriched elements is presented to improve the accuracy of finite element analysis. By the use of the static condensation technique at the element level, the extra computation time in using these elements can be ignored. Three-dimensional elastic problems are used as examples in this paper. The numerical results show that these enriched elements are more accurate than the traditional serendipity elements. The convergence rate of the enriched elements is the s

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Kukurudziak, Mykola S. "Isolation of Responsive Elements of Planar Multi-Element Photodiodes." East European Journal of Physics, no. 3 (September 4, 2023): 434–40. http://dx.doi.org/10.26565/2312-4334-2023-3-48.

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In the mass production of multi-element silicon p-i-n photodiodes, the problem of systematic rejection of products due to a decrease in the insulation resistance between the active elements of photodetectors has been revealed. The purpose of this work is to study the causes of insulation resistance degradation and to establish optimal methods for avoiding this phenomenon. A comparative analysis of three insulation methods was carried out: classical insulation by the surface of a non-conductive substrate and a dielectric layer; insulation by means of mesaprofile grooves with a dielectric film;

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15

Romaniuk, Roman. "The implementation of the method of reduced matrix D-trees in the Udf MAOPCs environment." Computational Problems of Electrical Engineering 13, no. 2 (2023): 33–36. http://dx.doi.org/10.23939/jcpee2023.02.033.

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The article explores the content of the MatrixDtrees function, which extends the functionality of the UDF MAOPCs and is designed to generate symbolic transfer functions of linear parametric circuits. This function represents a software implementation of the Transformed Matrix D-trees method. This method is an extension of the symbolic d-trees method, developed for constant parameters circuits, to parametric circuits. The extension involves the transition from algebraic operations with numbers and symbols in the d-trees method to matrix algebraic operations, taking into account the non-commutat

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Bilyk, S. I., and D. V. Mykhaіlovskyi. "Engineering methods for calculation of elements from combined glued timber." Ukrainian Journal of Forest and Wood Science 11, no. 2 (2020): 79–90. http://dx.doi.org/10.31548/forest2020.02.079.

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Extensive world experience in the implementation of building structures made of timber, in particular glued timber, for various purposes confirms the feasibility of their use. This is facilitated by the fact that glued timber effectively accumulates the positive properties of timber as a structural material level the shortcomings of solid timber. One of the types of constructions of glued timber are constructions of combined glued timber. Taking into account the structure and features of elements of combined glued timber of rectangular cross section, for a detailed analysis of the stress-strai

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Jeyakarthikeyan, P. V., R. Yogeshwaran, and Karthikk Sridharan. "An Efficient Method to Generate Element Stiffness Matrix of Quadrilateral Elements in Closed Form on Application of Vehicle Analysis." Applied Mechanics and Materials 852 (September 2016): 582–87. http://dx.doi.org/10.4028/www.scientific.net/amm.852.582.

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This paper presents about generating elemental stiffness matrix for quadrilateral elements in closed form solution method for application on vehicle analysis which is convenient and simple as long as Jacobian is matrix of constant. The interpolation function of the field variable to be found can integrate explicitly once for all, which gives the constant universal matrices A, B and C. Therefore, stiffness matrix is no longer integration of the given functional, it is simple calculation of universal matrices and local co-ordinates of the element. So time taken for generation of element stiffnes

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18

Chaudhry, Jehanzeb H., Luke N. Olson, and Peter Sentz. "A Least-Squares Finite Element Reduced Basis Method." SIAM Journal on Scientific Computing 43, no. 2 (2021): A1081—A1107. http://dx.doi.org/10.1137/20m1323552.

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19

Abdulle, Assyr, and Yun Bai. "Adaptive reduced basis finite element heterogeneous multiscale method." Computer Methods in Applied Mechanics and Engineering 257 (April 2013): 203–20. http://dx.doi.org/10.1016/j.cma.2013.01.002.

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20

Szypulski, Damian, Grzegorz Fotyga, and Michal Mrozowski. "An Enhanced Reduced Basis Method for Wideband Finite Element Method Simulations." IEEE Access 7 (2019): 60877–84. http://dx.doi.org/10.1109/access.2019.2915557.

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21

Firouz-Abadi, Rohollah Dehghani, and Mohammad Reza Borhan Panah. "Development of an aeroelastic model based on system identification using boundary elements method." Aircraft Engineering and Aerospace Technology 94, no. 3 (2021): 360–71. http://dx.doi.org/10.1108/aeat-01-2021-0025.

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Purpose The purpose of this paper is to analyze the stability of aeroelastic systems using a novel reduced order aeroelastic model. Design/methodology/approach The proposed aeroelastic model is a reduced-order model constructed based on the aerodynamic model identification using the generalized aerodynamic force response and the unsteady boundary element method in various excitation frequency values. Due to the low computational cost and acceptable accuracy of the boundary element method, this method is selected to determine the unsteady time response of the aerodynamic model. Regarding the st

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22

Zhuravchak, L. M., and N. V. Zabrodska. "Using of partly-boundary elements as a version of the indirect near-boundary element method for potential field modeling." Mathematical Modeling and Computing 8, no. 1 (2020): 1–10. http://dx.doi.org/10.23939/mmc2021.01.001.

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In this paper, the partly-boundary elements as a version of the indirect near-boundary element method has been considered. Accuracy and effectiveness of their using for 2D problems of potential theory have been investigated. It is shown that using of partly-boundary elements for objects of canonical shape (circle, square, rectangle, ellipse) and arbitrary polygons allows us to achieve the solution accuracy, which is comparable with the accuracy of the indirect near-boundary element method, and its order of magnitude is higher than in the indirect boundary element method. In this case, the comp

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23

Vierushkin, Ivan, and Yehor Kononenko. "Simulation of hydroelastic vibrations of structure elements using finite and boundary element methods." 49, no. 49 (March 29, 2021): 16–28. http://dx.doi.org/10.26565/2304-6201-2021-49-02.

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For studying the vibration frequencies and modes of structural elements that operate in interaction with a liquid, an approach has been proposed. The approach is based on coupled usage of finite and boundary element methods. For description the motion of both structural elements and the fluid, the method deals with basic relations of the continuous medium mechanics. In the study of structural elements, the linear relations between stresses and strains have been accepted, i.e. elastic elements have been considered. The relations between the components of stress tensors and strain rates are used

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24

Oshiro, Kai, Hiroka Miyakubo, Masaki Fujikawa, and Chobin Makabe. "Hexahedral-Based Smoothed Finite Element Method Using Volumetric-Deviatoric Split for Contact Problem." Materials Science Forum 940 (December 2018): 84–88. http://dx.doi.org/10.4028/www.scientific.net/msf.940.84.

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A first-order hexahedral (H8)-element-based smoothed finite element method (S-FEM) with a volumetric-deviatoric split for nearly incompressible materials was developed for highly accurate deformation analysis of large-strain problems. In the proposed method, the isovolumetric part of the deformation gradient at the integration point is derived from F based on the beta finite element method (i.e., an S-FEM), whereas the volumetric part of the deformation gradient is derived from F on the basis of the standard FEM with reduced integration elements. This method targets H8 elements that are automa

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25

Tawfeeq, Al-Aqbi Ameer, and Nicolae Popa. "The Reduced Stress Method (EN-1993-1-5) In Designing of The Plated Structural Elements." IOP Conference Series: Earth and Environmental Science 664, no. 1 (2021): 012067. http://dx.doi.org/10.1088/1755-1315/664/1/012067.

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26

Sapozhnikov, V. V., Vl V. Sapozhnikov, D. V. Efanov, and D. V. Pivovarov. "Method of diagnostic system synthesis based on Boolean complement with reduced number of correction elements." Izvestiâ vysših učebnyh zavedenij. Priborostroenie 62, no. 12 (2019): 1039–52. http://dx.doi.org/10.17586/0021-3454-2019-62-12-1039-1052.

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27

Pourkeivannour, Siamak, Joost S. B. van Zwieten, Léo A. J. Friedrich, Mitrofan Curti, and Elena A. Lomonova. "A Comparative Study of Finite Element Method and Hybrid Finite Element Method–Spectral Element Method Approaches Applied to Medium-Frequency Transformers with Foil Windings." J 6, no. 4 (2023): 627–38. http://dx.doi.org/10.3390/j6040041.

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This study aims to improve the computational efficiency of the frequency domain analysis of medium-frequency transformers (MFTs) with the presence of large clearance distances and fine foil windings. The winding loss and magnetic energy in MFTs in the medium-frequency range are calculated utilizing a finite element method (FEM) using common triangular and alternative rectilinear mesh elements. Additionally, in order to improve the computational efficiency of the calculations, a spectral element method (SEM) is coupled with a FEM, thus creating a hybrid FEM–SEM formulation. In such a hybrid app

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Dmitriev, K. V., and D. V. Smirnykh. "Two-step scattering theory method for designing metamaterials." Journal of Physics: Conference Series 2822, no. 1 (2024): 012145. http://dx.doi.org/10.1088/1742-6596/2822/1/012145.

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Abstract A two-step method for designing an acoustic metamaterial with desired properties is proposed. At the first step, the scattering matrices of its elements are calculated using the Lippmann-Schwinger type equation. For scatterers of small wave size, the problem is reduced to determining the phases of several scattering coefficients. At the second step, the particular design of metamaterial elements is determined. This problem can be considered an inverse scattering problem or a problem of optimizing the geometric parameters of a metamaterial element. The second approach turns out to be m

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Yuan, Lu Lu, Ming Qi Wang, and Jia Le Hu. "Study of Au Prospecting by Geogas in Sunite Gold Deposit." Advanced Materials Research 962-965 (June 2014): 646–49. http://dx.doi.org/10.4028/www.scientific.net/amr.962-965.646.

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Geogas geochemistry method is a way to predict concealed ores by collecting and testing metallogenic elements and associated elements in rising underground gases, which is very promising for broad applications. Due to the unawareness of the source of abnormal materials, the validity of the method is consistently under suspicion. By purifying the collector, controlling operating environment, improving the sampling device and sampling methods, the contents of interference elements are greatly reduced in this paper. Through the analyses of captured samples, obtaining of the geochemical characteri

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Yang, J. D., Q. Liu, C. L. Tian, J. W. Guo, and Y. H. Feng. "High Speed Lapping Ellipsoid by Means of a Lapping Tool Bending Method." Key Engineering Materials 329 (January 2007): 309–14. http://dx.doi.org/10.4028/www.scientific.net/kem.329.309.

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This paper discusses a new lapping ellipsoid method, which combines high-speed lapping technology with solid abrasives and lapping tool bending method. In this method, a bending moment is acted on lapping tool with solid abrasives, which makes it bend to form a shape on its working surface, which is the same as generant of workpiece shape. This kind tool is used in forming lapping on a high speed lapping machine. With the development of science and technology, the requirements for optics systems become higher and higher, e.g. good quality of imaging, little loss light energy, small size and li

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Kwon, Y. D., N. S. Goo, and B. S. Lim. "Resolution of Defects in Degenerated Shell Elements Through Modification of Gauss Integration." International Journal of Modern Physics B 17, no. 08n09 (2003): 1877–83. http://dx.doi.org/10.1142/s0217979203019812.

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In this paper, the modified Gauss integration method is developed to eliminate the shear and membrane locking phenomena of the degenerated shell element. The behavior of the element based on the Mindlin/Reissner theory in plates and shells sometimes causes a problem. In displacement-based shell elements, the full integration of stiffness matrices leads to a 'locking' or over-stiff behavior. The selective or reduced integration procedures may often overcome these difficulties, while overstiff solutions may still occur in the analysis with a highly constrained boundary. Except for the six zero-e

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Degawa, Tomohiro, and Tomomi Uchiyama. "Improvements to the convection scheme in the vortex particle method using a semi-Lagrangian method." Journal of Algorithms & Computational Technology 12, no. 3 (2018): 223–33. http://dx.doi.org/10.1177/1748301818771811.

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This study focuses on the convection scheme in the vortex particle method. The usual two-step convection procedure for vortex elements, which comprises the convection of vortex elements on each grid point and redistribution of vorticity into each grid point, is extremely difficult to parallelize because of unavoidable memory-write conflictions in the redistribution step, thereby limiting the computational speed. We apply a semi-Lagrangian method called the cubic semi-Lagrangian method, as the convection scheme in the vortex particle method to improve space–time accuracy and accelerate computat

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KHOJIEV, MUKHSIDIN, and RUSTAM MURADOV. "METHODS TO IMPROVE PNEUMATIC TRANSPORT SYSTEM ELEMENTS AND REDUCED COTTONSEED DAMAGE." ACUMEN: INTERNATIONAL JOURNAL OF MULTIDISCIPLINARY RESEARCH 1, no. 5 (2024): 333–39. https://doi.org/10.5281/zenodo.14582356.

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The enhancement of the transport components of the device that carries cotton by air is the subject of several scientific studies that are analyzed in this article.According to an analysis, scientific studies are primarily concerned with preserving the quality of cotton that is transported, minimizing seed damage, lowering electricity usage, and minimizing the emission of dusty air into the atmosphere.

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Özgür Bezgin, Niyazi. "Method to attain substantial anchorage forces within limited embedment depths into thin fibre-reinforced concrete plates and shells." Journal of the Croatian Association of Civil Engineers 76, no. 08 (2024): 733–43. http://dx.doi.org/10.14256/jce.3969.2024.

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Contemporary fibre-reinforced concrete provides new opportunities for the design of thin concrete elements with substantial bending strength. To realise the full benefits of reduced weights owing to the reduced structural thickness, new anchorage elements must be developed that can sustain high anchorage forces within limited embedment depths in thin plates. This paper introduces a new anchorage design for concrete plates or shells that provides high tensile forces between 4 and 6 kN within a small embedment depth of 5 mm. The proposed design concept includes a two-stage anchorage mechanism th

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35

Sablin, S. Yu, A. V. Skrypnikov, V. G. Kozlov, V. S. Prokopets, A. N. Bryukhovetskiy, and M. I. Golubev. "Feasibility study of logging road elements plan." FORESTRY BULLETIN 25, no. 3 (2021): 111–17. http://dx.doi.org/10.18698/2542-1468-2021-3-111-117.

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The peculiarities of the research work are stated and the need for its further development is shown. Taking into account the structural links and limitations of the system, a mathematical model of the feasibility study of the total reduced costs of the route plan, the longitudinal profile and the width of the carriageway was compiled, which has a various amount of construction and operating costs reduced to the initial year in a predetermined search area. The objective function is determined, which is the main part of the mathematical model including all the elements and connections of the fea

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Huynh, D. B. P., D. J. Knezevic, and A. T. Patera. "A static condensation reduced basis element method: Complex problems." Computer Methods in Applied Mechanics and Engineering 259 (June 2013): 197–216. http://dx.doi.org/10.1016/j.cma.2013.02.013.

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Smetana, Kathrin. "A new certification framework for the port reduced static condensation reduced basis element method." Computer Methods in Applied Mechanics and Engineering 283 (January 2015): 352–83. http://dx.doi.org/10.1016/j.cma.2014.09.020.

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Zhang, Z., L. Lu, P. Wu, and C. Shu. "Prediction of Defects in PZT Thin Film Using Ab-Initio Method." Advanced Materials Research 32 (February 2008): 53–56. http://dx.doi.org/10.4028/www.scientific.net/amr.32.53.

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This paper reviews our systematic and exhaustive studies on the lead zirconate titanate doped with dopants using ab initio density functional theory calculations in order to understand the mechanisms behind the dopings. Different candidates of dopants were selected by screening the periodical table of elements. In our studies, group VA, VIA elements (B-site donors), group IIA elements (A-site donors), group IIIB elements (B-site acceptors), and group VB elements (A-site donor, B-site acceptor/donors) are investigated as dopants in PZT. We found that there exist different mechanisms behind the

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Shen, Haiou, and Buhong Wang. "An Effective Method for Synthesizing Multiple-Pattern Linear Arrays With a Reduced Number of Antenna Elements." IEEE Transactions on Antennas and Propagation 65, no. 5 (2017): 2358–66. http://dx.doi.org/10.1109/tap.2017.2679344.

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Akishin, Pavel G., and Andrey A. Sapozhnikov. "The volume integral equation method in magnetostatic problem." Discrete and Continuous Models and Applied Computational Science 27, no. 1 (2019): 60–69. http://dx.doi.org/10.22363/2658-4670-2019-27-1-60-69.

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This article addresses the issues of volume integral equation method application to magnetic system calculations. The main advantage of this approach is that in this case finding the solution of equations is reduced to the area filled with ferromagnetic. The difficulty of applying the method is connected with kernel singularity of integral equations. For this reason in collocation method only piecewise constant approximation of unknown variables is used within the limits of fragmentation elements inside the famous package GFUN3D. As an alternative approach the points of observation can be repl

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Stefanovic, Bogdan. "Symmetric serpentine marking on forest roads by internal circular curve method." Bulletin of the Faculty of Forestry, no. 91 (2005): 219–29. http://dx.doi.org/10.2298/gsf0591219s.

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This paper presents a new method of symmetric serpentine marking in constructing forest roads on the terrain itself. This method is based on surveying the elements needed for symmetric serpentine marking on forest roads and on estimating other elements and their marking. By using this method construction errors are reduced as well as the number of attempts of serpentine marking on the terrain itself. In the way, the effects of serpentine marking are increased compared to the ones reached by the method used so far.

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Stefanovic, Bogdan. "Half serpentine marking on forest roads by internal circular curve method." Bulletin of the Faculty of Forestry, no. 99 (2009): 155–64. http://dx.doi.org/10.2298/gsf0999155s.

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This paper presents a new method of half serpentine marking in constructing forest roads on the terrain itself. This method is based on surveying the elements needed for half serpentine marking on forest roads and on estimating other needed elements and their finished marking. By using this method construction errors are reduced as well as the number of attempts of half serpentine marking. In the way, the effects of half serpentine marking are increased compared to the ones reached by the method used so far.

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Kadiev, I. P., P. A. Kadiev, and B. R. Kudaev. "INTERLEAVING BURST ERROR ELEMENTS IN INFORMATION ARRAYS USING THE METHOD OF INDEX STRUCTURISATION." Herald of Dagestan State Technical University. Technical Sciences 46, no. 4 (2020): 84–90. http://dx.doi.org/10.21822/2073-6185-2019-46-4-84-90.

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Objectives. “Burst errors” representing groups of accidentally or intentionally distorted or “erased” characters in blocks of information arrays violate the integrity of their content. However, the use of special codes for detecting and correcting such errors significantly reduces the speed of information transfer due to the need to introduce redundancy in the form of a large number of control characters. Therefore, this study sets out to develop a method for correcting burst errors.Method. A possible approach for correcting burst errors consists in interleaving preliminary permutations of inf

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BIZZARRI, Davide, Hadrien BERIOT, Onur ATAK, and Sjoerd VAN OPHEM. "Enhancing vibroacoustic reduced order models for digital twin development in industrial applications." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 270, no. 10 (2024): 1029–38. http://dx.doi.org/10.3397/in_2024_2753.

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In recent years, the growing interest towards the Digital Twin has prompted extensive exploration in both academic and industrial domains. To realize this technology, the development of simulation models that seamlessly run parallel to the physical assets is necessary. Model Order Reduction (MOR) plays a pivotal role, significantly easing the computational demands of 3D models while maintaining high fidelity. Krylov-based methods have proven successful in various vibroacoustic applications. However, state-of-the-art contributions employ suboptimal modeling strategies, leading to computationall

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Leung, A. Y. T., and R. K. L. Su. "Fractal Two-Level Finite Element Method For Free Vibration of Cracked Beams." Shock and Vibration 5, no. 1 (1998): 61–68. http://dx.doi.org/10.1155/1998/816932.

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The fractal two-level finite element method is extended to the free vibration behavior of cracked beams for various end boundary conditions. A cracked beam is separated into its singular and regular regions. Within the singular region, infinite number of finite elements are virturally generated by fractal geometry to model the singular behavior of the crack tip. The corresponding numerous degrees of freedom are reduced to a small set of generalized displacements by fractal transformation technique. The solution time and computer storage can be remarkably reduced without sacrifying accuracy. Th

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Todinov, Michael. "Lightweight Designs and Improving the Load-Bearing Capacity of Structures by the Method of Aggregation." Mathematics 12, no. 10 (2024): 1522. http://dx.doi.org/10.3390/math12101522.

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The paper introduces a powerful method for developing lightweight designs and enhancing the load-bearing capacity of common structures. The method, referred to as the ‘method of aggregation’, has been derived from reverse engineering of sub-additive and super-additive algebraic inequalities. The essence of the proposed method is consolidating multiple elements loaded in bending into a reduced number of elements with larger cross sections but a smaller total volume of material. This procedure yields a huge reduction in material usage and is the first major contribution of the paper. For instanc

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Ebrahimi, Mehran, and Masayuki Yano. "A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems." Computer Methods in Applied Mechanics and Engineering 431 (November 2024): 117254. http://dx.doi.org/10.1016/j.cma.2024.117254.

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Zhang, Xinwen, Gun-Joo Jung, and Kyu-Nam Rhee. "Performance Evaluation of Thermal Bridge Reduction Method for Balcony in Apartment Buildings." Buildings 12, no. 1 (2022): 63. http://dx.doi.org/10.3390/buildings12010063.

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Most apartment buildings in South Korea use internal insulation systems to reduce building energy demand. However, thermal bridges such as balcony slabs in apartment buildings still lead to significant heat loss in winter, because the internal insulation system is not continuous in the balcony slab structure, and floor heating systems are commonly used in residential buildings. Therefore, this study investigates two types of thermal break elements, namely thermal break (TB) and thermal break-fiber glass reinforced polymer (TB-GFRP), to improve the thermal resistance of a balcony thermal bridge

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Vlase, Sorin, Marin Marin, and Calin Itu. "Gibbs–Appell Equations in Finite Element Analysis of Mechanical Systems with Elements Having Micro-Structure and Voids." Mathematics 12, no. 2 (2024): 178. http://dx.doi.org/10.3390/math12020178.

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In this paper, the authors propose the application of the Gibbs–Appell equations to obtain the equations of motion in the case of a mechanical system that has elements with a micro-polar structure, containing voids. Voids can appear as a result of the processing or manufacturing of the parts, or can be intentionally introduced. This research involves a model of the considered solid material containing voids. To determine the dynamic behavior of such a system, the Gibbs–Appell (GA) method is used to obtain the evolution equations, as an alternative to Lagrange’s classical description. The propo

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Krutii, Yurii, Mykola Surianinov, and Vitalii Chaban. "The Solution of the Shells Theory Problems by the Numerical-Analytical Boundary Elements Method." Materials Science Forum 968 (August 2019): 460–67. http://dx.doi.org/10.4028/www.scientific.net/msf.968.460.

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The application of the numerical-analytical boundary elements method (NA BEM) to the calculation of shells is considered. The main problem here is due to the fact that most of the problems of statics, dynamics and stability of shells are reduced to solving an eighth-order differential equation. As a result, all analytical expressions of the NA BEM (fundamental functions, Green functions, external load vectors) turn out to be very cumbersome, and intermediate transformations are associated with eighth-order determinants. It is proposed along with the original differential equation to consider a

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