Comparative study on domain decomposition methods for solving multi-domain potential problems by DiBFM

Authors: Rongxiong Xiao, Jianming Zhang, Yang Yang, Chong Zhang

Source: Engineering Analysis with Boundary Elements. 162:157-171

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, non-overlapping domain decomposition methods, multi-domain problems, DiBFM, Boundary element methods for boundary value problems involving PDEs, Boundary element methods applied to problems in solid mechanics

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Access URL: https://zbmath.org/7855339
https://doi.org/10.1016/j.enganabound.2024.01.011

Modeling and experiments on the vibro-acoustic analysis of ring stiffened cylindrical shells with internal bulkheads: A comparative study: Modeling and experiments on the vibro-acoustic analysis of ring stiffened cylindrical shells with internal bulkheads: a comparative study

Authors: Cong Gao, Jiawei Xu, Fuzhen Pang, Haichao Li, Kai Wang

Source: Engineering Analysis with Boundary Elements. 162:239-257

Subject Terms: Finite difference methods applied to problems in solid mechanics, Boundary element methods for initial value and initial-boundary value problems involving PDEs, Vibrations in dynamical problems in solid mechanics, experiment, Finite difference methods for initial value and initial-boundary value problems involving PDEs, impact loading, narrow band random loading, ring stiffened cylindrical shell, Boundary element methods applied to problems in solid mechanics, vibro-acoustic response, boundary element method

File Description: application/xml

Wavelet-based dual reciprocity BEM for band-structure calculations of 3D fluid/fluid and solid/solid phononic crystals

Authors: Qi Wei, Jiawei Xiang, Weiping Zhu, Hongjiu Hu

Source: Engineering Analysis with Boundary Elements. 162:172-183

Subject Terms: sparse matrix, B-spline wavelet on interval, truncation threshold, Boundary element methods applied to problems in fluid mechanics, Numerical methods for wavelets, Boundary element methods for boundary value problems involving PDEs, band-structure, phononic crystals, dual reciprocity boundary element method, Boundary element methods applied to problems in solid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

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Access URL: https://zbmath.org/7855340
https://doi.org/10.1016/j.enganabound.2024.02.008

Improved hole and tube elements in BEM for elasticity problems

Authors: Zheng, Yong-Tong, Liu, Yijun, Gao, Xiao-Wei, Yang, Yang, Peng, Hai-Feng

Source: Engineering Analysis with Boundary Elements. 159:17-35

Subject Terms: Elastic materials, iso-parametric closure elements, Boundary element methods for boundary value problems involving PDEs, stress concentration, hole elements, Boundary element methods applied to problems in solid mechanics, boundary element method

File Description: application/xml

Access URL: https://zbmath.org/7855253
https://doi.org/10.1016/j.enganabound.2023.11.021

A highly accurate indirect boundary integral equation solution for three dimensional elastic scattering problem

Authors: Sun, Yao, Wang, Yating

Source: Engineering Analysis with Boundary Elements. 159:402-417

Subject Terms: Wave scattering in solid mechanics, method of fundamental solutions, collocation method, boundary integral equation, Boundary element methods for boundary value problems involving PDEs, elastic wave scattering, Boundary element methods applied to problems in solid mechanics

File Description: application/xml

Access URL: https://zbmath.org/7855281
https://doi.org/10.1016/j.enganabound.2023.12.015

Recovering the impedance function or shape of elastic obstacle from partial Cauchy data

Authors: Sun, Yao, Wang, Pan, Bo, Chen

Source: Discrete and Continuous Dynamical Systems - S. 17:2654-2678

Subject Terms: Cauchy data, Inverse problems for PDEs, Inverse problems for waves in solid mechanics, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse impedance problem, boundary integral equation, Overdetermined boundary value problems for PDEs and systems of PDEs, inverse shape problem, Navier equation, Boundary element methods applied to problems in solid mechanics

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Access URL: https://zbmath.org/7893924
https://doi.org/10.3934/dcdss.2024025

On optimal radius of sub-domains in meshless LBIE method

Authors: Hossein Hosseinzadeh, Ahmad Shirzadi

Source: Mathematics and Computers in Simulation. 213:145-160

Subject Terms: meshless methods, local weak formulation, Boundary element methods applied to problems in fluid mechanics, local boundary integral equations (LBIE), Lebesgue constant, radial basis functions, Boundary element methods for boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, Boundary element methods applied to problems in solid mechanics

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Band structures analysis of fluid–solid phononic crystals using wavelet‐based boundary element method and frequency‐independent fundamental solutions: Band structures analysis of fluid-solid phononic crystals using wavelet-based boundary element method and frequency-independent fundamental solutions

Authors: Qi Wei, Jiawei Xiang, Weiping Zhu, Hongjiu Hu

Source: International Journal for Numerical Methods in Engineering. 124:4603-4633

Subject Terms: domain integral, integral equation, B-spline wavelet, matrix compression, Bloch theorem, Numerical methods for wavelets, 0103 physical sciences, 0101 mathematics, Crystalline structure, radial integration method, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, dual reciprocity method

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Modified BEM for scattering analysis by a flaw at interface in an anisotropic multi-layered plate

Authors: Chen Yang, Bin Wang, Zhenghua Qian, Sohichi Hirose

Source: Engineering Analysis with Boundary Elements. 152:704-727

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, Wave scattering in solid mechanics, 2-d modified BEM, infinite boundary, guided wave scattering, Anisotropy in solid mechanics, anisotropy, Plates, Boundary element methods applied to problems in solid mechanics

File Description: application/xml

Access URL: https://zbmath.org/7848478
https://doi.org/10.1016/j.enganabound.2023.04.028

WBEM-based analysis of band structures of solid-solid and fluid-fluid phononic crystals with frequency-independent fundamental solutions

Authors: Wei, Qi, Xiang, Jiawei, Zhu, Weiping, Hu, Hongjiu

Source: Engineering Analysis with Boundary Elements. 151:439-456

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, domain integral, matrix compression, band structure, Numerical methods for wavelets, wavelet-based boundary element method, Numerical methods for low-rank matrix approximation, B-spline wavelet on the interval, phononic crystals, Boundary element methods applied to problems in solid mechanics

File Description: application/xml

Numerical study on the water entry of two-dimensional airfoils by BEM

Authors: Liyang Dong, Wenjun Ding, Zhaoyu Wei, Pingxiang Liu, Baoheng Yao, Lian Lian

Source: Engineering Analysis with Boundary Elements. 151:83-100

Subject Terms: BEM-RANS comparison, water entry, free surface, Boundary element methods for boundary value problems involving PDEs, General aerodynamics and subsonic flows, NACA airfoils, Boundary element methods applied to problems in solid mechanics

File Description: application/xml

Access URL: https://zbmath.org/7698637
https://doi.org/10.1016/j.enganabound.2023.02.054

A data-driven multi-flaw detection strategy based on deep learning and boundary element method

Authors: Sun, Jia, Liu, Yinghua, Yao, Zhenhan, Zheng, Xiaoping

Source: Computational Mechanics. 71:517-542

Subject Terms: Inverse problems in equilibrium solid mechanics, non-uniqueness, block LU decomposition method, Learning and adaptive systems in artificial intelligence, 0211 other engineering and technologies, non-destructive testing, convolutional neural network, 02 engineering and technology, 01 natural sciences, Numerical and other methods in solid mechanics, inverse problem, 0101 mathematics, elliptic flaw detection, Boundary element methods applied to problems in solid mechanics

File Description: application/xml

Access URL: https://zbmath.org/7686705
https://doi.org/10.1007/s00466-022-02231-5

Band structure analysis of two-dimensional photonic crystals using the wavelet-based boundary element method

Authors: Qi Wei, Jiawei Xiang, Xingfu Ma

Source: Engineering Analysis with Boundary Elements. 134:1-10

Subject Terms: \(B\)-spline wavelet on the interval, singular integral, band structure, 0103 physical sciences, wavelet-based boundary element method, Boundary element methods for boundary value problems involving PDEs, Crystalline structure, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, Boundary element methods applied to problems in optics and electromagnetic theory, photonic crystal

File Description: application/xml

Access URL: https://zbmath.org/7439995
https://doi.org/10.1016/j.enganabound.2021.09.025
https://www.sciencedirect.com/science/article/pii/S0955799721002733

An efficient scaled boundary finite element approach in bending and bucking analysis of functionally graded piezoelectric plates

Authors: Fan Yang, Jing Zhang, Wenbin Ye, Zhao Yin, Gao Lin, Jun Liu

Source: Engineering Analysis with Boundary Elements. 132:168-181

Subject Terms: Bifurcation and buckling, plate structure, Boundary element methods for boundary value problems involving PDEs, 02 engineering and technology, bending, 0101 mathematics, Plates, functionally graded piezoelectric material, 0210 nano-technology, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, scaled boundary finite element method, critical buckling

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0955799721002058

A 3D BEM-FEM approach using layered transversely isotropic half-space Green's functions in the frequency domain for SSI analyses

Authors: Mohammad Rahimian, Delaram Mehdizadeh, Morteza Eskandari-Ghadi

Source: Engineering Analysis with Boundary Elements. 132:94-109

Subject Terms: BEM-FEM coupling, Finite element methods applied to problems in solid mechanics, transverse isotropy, mixed boundary value problem, Boundary element methods for boundary value problems involving PDEs, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, frequency domain, layered half-space Green's functions, singularity, 01 natural sciences, boundary element method, 0203 mechanical engineering, 0101 mathematics, Boundary element methods applied to problems in solid mechanics, exponentially gradient elements

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Access URL: https://www.sciencedirect.com/science/article/pii/S095579972100196X

A boundary weak singularity elimination method for multilayer structures

Authors: Shuguang Wang, Hou Junjian, Wenbin He, Yudong Zhong, Liangwen Wang, Guizhong Xie

Source: Engineering Analysis with Boundary Elements. 130:69-78

Subject Terms: sinh transformation, 0203 mechanical engineering, Structured surfaces and interfaces, coexistent phases, coordinate transformation, Boundary element methods for boundary value problems involving PDEs, singular integrals, 02 engineering and technology, 0101 mathematics, multilayer structures, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, boundary element method

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0955799721001405

B-spline wavelet boundary element method for three-dimensional problems

Authors: Qi Wei, Jiawei Xiang

Source: Acta Mechanica. 232:3233-3257

Subject Terms: ring domain, singular integration, 0203 mechanical engineering, Classical linear elasticity, linear elasticity, scaling function, potential problem: spherical domain: cube domain, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, Numerical computation using splines, Gauss quadrature scheme

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s00707-021-03009-1

Three dimensional modified BEM analysis of forward scattering problems in elastic solids

Authors: Bin Wang, Chen Yang, Zhenghua Qian

Source: Engineering Analysis with Boundary Elements. 122:145-154

Subject Terms: Wave scattering in solid mechanics, 0203 mechanical engineering, infinite boundary, 0103 physical sciences, Boundary element methods for boundary value problems involving PDEs, three-dimensional modified BEM, 02 engineering and technology, forward scattering, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, guided wave

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0955799720302691

Development of ABAQUS UEL/VUEL subroutines for scaled boundary finite element method for general static and dynamic stress analyses

Authors: Z.J. Yang, F. Yao, Y.J. Huang

Source: Engineering Analysis with Boundary Elements. 114:58-73

Subject Terms: semi-analytical, 0211 other engineering and technologies, concrete, Boundary element methods for boundary value problems involving PDEs, 02 engineering and technology, heterogeneity, 0101 mathematics, Stress, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, scaled boundary finite element method, Abaqus UEL/VUEL

File Description: application/xml

Access URL: https://zbmath.org/7214835
https://doi.org/10.1016/j.enganabound.2020.02.004
https://www.sciencedirect.com/science/article/pii/S0955799720300424

Analysis of water wave interaction with a flexible submerged perforated semi-circular breakwater

Authors: Huajun Li, Ai-jun Li, Yong Liu, Hui Fang

Source: European Journal of Mechanics - B/Fluids. 79:345-356

Subject Terms: reflection coefficient, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, multi-domain boundary element method, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), 6. Clean water, analytical solution, linear potential theory, Boundary element methods applied to problems in fluid mechanics, Euler-Bernoulli beam, transmission coefficient, 0103 physical sciences, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, multipole expansion, Boundary element methods applied to problems in solid mechanics

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0997754619301219
https://ui.adsabs.harvard.edu/abs/2020EJMF...79..345L/abstract