Search Results - Boundary element methods for boundary value problems involving PDEs

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

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

Authors: Rongxiong Xiao Jianming Zhang Yang Yang et al.

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

A hybrid kernel-free boundary integral method with operator learning for solving parametric partial differential equations in irregular domains

Authors: Shuo Ling Liwei Tan Wenjun Ying

Source: Communications in Nonlinear Science and Numerical Simulation. 147:108816

Subject Terms: Extrapolation to the limit, deferred corrections, operator learning, Boundary value problems for second-order elliptic equations, kernel-free boundary integral method, irregular domain, deep learning, Boundary element methods for boundary value problems involving PDEs, parametric partial differential equation, Artificial neural networks and deep learning

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Efficient boundary integral method to evaluate the acoustic scattering from coupled fluid-fluid problems excited by multiple sources

Authors: Pacaut, Louise Chaillat, Stéphanie Mercier, Jean-François et al.

Contributors: Pacaut, Louise Chaillat, Stéphanie Mercier, Jean-François et al.

Source: Journal of Computational Physics. 524:113736

Subject Terms: [PHYS.PHYS.PHYS-COMP-PH] Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph], boundary integral equations, [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], two-phase flow noise, Boundary element methods for boundary value problems involving PDEs, coupled fluid problems, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, [PHYS.MECA.ACOU] Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], numerical Green's functions

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Access URL: https://hal.science/hal-04942337v1
https://doi.org/10.1016/j.jcp.2025.113736
https://hal.science/hal-04942337v1/document

A natural boundary element reduced-dimension model for uniform high-voltage transmission line problem in an unbounded outer domain

Authors: Teng, Fei Luo, Zhen Dong

Source: Computational and Applied Mathematics. 43

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Error bounds for boundary value problems involving PDEs, reduced-dimension recurrence method, Numerical methods for partial differential equations, boundary value problems, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Boundary element methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, uniform high-voltage transmission line problem, natural boundary element

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Access URL: https://zbmath.org/7841113
https://doi.org/10.1007/s40314-024-02617-6

Inviscid flow passing a lifting body with a higher order boundary element method

Authors: Shi Yan Sun G.X. Wu

Source: Engineering Analysis with Boundary Elements. 136:144-157

Subject Terms: integral equations for potential and velocity, hydrofoil, Higher order boundary element method (HOBEM), Boundary element methods applied to problems in fluid mechanics, higher order boundary element method (HOBEM), 0103 physical sciences, Hydrofoil, Integral equations for potential and velocity, Free-surface potential flows for incompressible inviscid fluids, Boundary element methods for boundary value problems involving PDEs, Kutta condition, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/7496038
https://doi.org/10.1016/j.enganabound.2021.12.012
https://discovery-pp.ucl.ac.uk/id/eprint/10142211/

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

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

Improved hole and tube elements in BEM for elasticity problems

Authors: Zheng, Yong-Tong Liu, Yijun Gao, Xiao-Wei et al.

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

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

Boundary element methods for acoustic scattering by fractal screens

Authors: Chandler-Wilde S. N. Hewett D. P. Moiola A. et al.

Contributors: Chandler-Wilde S. N. Hewett D. P. Moiola A. et al.

Source: Numerische Mathematik. 147:785-837

Subject Terms: acoustic wave, scattering, 65R20 Numerical methods for integral equations, 65N38 Boundary element methods for boundary value problems involving PDEs, 78A45 Diffraction scattering, Numerical Analysis (math.NA), prefractal approximation, 01 natural sciences, Mosco convergence, 28A80 Fractals, 78M15 Boundary element methods applied to problems in optics and electromagnetic theory, fractals, FOS: Mathematics, 45A05 65N38 65R20, Boundary element method, boundary integral equation, Helmholtz equation, Mathematics - Numerical Analysis, 0101 mathematics

File Description: application/pdf; ELETTRONICO

Access URL: https://link.springer.com/content/pdf/10.1007/s00211-021-01182-y.pdf
http://arxiv.org/abs/1909.05547
https://centaur.reading.ac.uk/96048/9/Chandler-Wilde2021_Article_BoundaryElementMethodsForAcous.pdf
https://arxiv.org/pdf/1909.05547.pdf
https://arxiv.org/abs/1909.05547
https://link.springer.com/content/pdf/10.1007/s00211-021-01182-y.pdf
http://dblp.uni-trier.de/db/journals/corr/corr1909.html#abs-1909-05547
https://centaur.reading.ac.uk/96048/
https://iris.unipv.it/handle/11571/1441054
https://discovery-pp.ucl.ac.uk/id/eprint/10124089/

An improved implementation of triple reciprocity boundary element method for three-dimensional steady state heat conduction problems

Authors: Shuaiping Guo Xuejun Li Jinliang Gu et al.

Source: Engineering Analysis with Boundary Elements. 107:1-11

Subject Terms: Boundary element methods applied to problems in thermodynamics and heat transfer, steady state heat conduction, Diffusive and convective heat and mass transfer, heat flow, Boundary element methods for boundary value problems involving PDEs, 0101 mathematics, triple reciprocity method, 01 natural sciences, boundary element method

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Access URL: https://zbmath.org/7110370
https://doi.org/10.1016/j.enganabound.2019.06.013
https://www.sciencedirect.com/science/article/pii/S0955799719302449#!
https://www.sciencedirect.com/science/article/pii/S0955799719302449

Analysis of the immersed boundary method for a finite element Stokes problem

Authors: Norikazu Saito Yoshiki Sugitani

Source: Numerical Methods for Partial Differential Equations. 35:181-199

Subject Terms: immersed boundary method, Error bounds for boundary value problems involving PDEs, finite element method, Boundary element methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, 0101 mathematics, PDEs in connection with fluid mechanics, Stokes equation, 01 natural sciences, Stokes and related (Oseen, etc.) flows

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Access URL: http://arxiv.org/pdf/1611.07172
https://zbmath.org/7073843
https://doi.org/10.1002/num.22296
https://arxiv.org/pdf/1611.07172.pdf
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=201902211564898753
http://ui.adsabs.harvard.edu/abs/2016arXiv161107172S/abstract
https://tohoku.pure.elsevier.com/en/publications/analysis-of-the-immersed-boundary-method-for-a-finite-element-sto
https://onlinelibrary.wiley.com/doi/10.1002/num.22296

An efficient numerical algorithm to solve steady state heat conduction problems with local uncertainty

Authors: Guo, Xiaoqi Yang, Haitian He, Yiqian

Source: Engineering Analysis with Boundary Elements. 163:593-605

Subject Terms: Thermal effects in solid mechanics, computational efficiency, Boundary element methods applied to problems in thermodynamics and heat transfer, Finite element methods applied to problems in solid mechanics, scaled boundary element finite method, Diffusive and convective heat and mass transfer, heat flow, heat conduction, local uncertainty, Boundary element methods for boundary value problems involving PDEs, Woodbury formula

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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

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

Gaussian expansion element method of the new dynamic modeling technique in non-uniform and variable cross-section structures

Authors: Wang, Tao Tang, Ye Ding, Qian

Source: Applied Mathematical Modelling. 116:122-146

Subject Terms: Finite element methods applied to problems in solid mechanics, Vibrations in dynamical problems in solid mechanics, semi-analytical mode, dynamic modeling method, Gaussian expansion element method, non-uniform structure, Boundary element methods for boundary value problems involving PDEs, 02 engineering and technology, Plates, 0210 nano-technology, 0201 civil engineering

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Access URL: https://zbmath.org/7699848
https://doi.org/10.1016/j.apm.2022.11.026

A boundary weak singularity elimination method for multilayer structures

Authors: Shuguang Wang Hou Junjian Wenbin He et al.

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

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

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

Authors: Fan Yang Jing Zhang Wenbin Ye et al.

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

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

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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A 2D RVE formulation by the boundary element method considering phase debonding

Authors: Jordana F. Vieira Gabriela Fernandes Maria Júlia Marques Silva et al.

Source: Engineering Analysis with Boundary Elements. 104:259-276

Subject Terms: boundary elements, zoned plates, cohesive fracture, 0203 mechanical engineering, plasticity, homogenization techniques, Boundary element methods for boundary value problems involving PDEs, 02 engineering and technology, 0101 mathematics, RVE, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, Displacive transformations in solids

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Access URL: https://www.sciencedirect.com/science/article/pii/S0955799718304521

The Uncoupling of Boundary Integral and Finite Element Methods for Nonlinear Boundary Value Problems: The uncoupling of boundary integral and finite element methods for nonlinear boundary value problems

Authors: George C. Hsiao Gabriel N. Gatica

Source: Journal of Mathematical Analysis and Applications. 189:442-461

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Applied Mathematics, Boundary element methods for boundary value problems involving PDEs, Laplace equation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, boundary integral methods, Nonlinear boundary value problems for linear elliptic equations, non-monotone operators, artificial coupling boundary condition, finite element methods, exterior boundary value problems, nonlinear second- order elliptic equation, 0101 mathematics, Analysis

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Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X85710293
https://www.sciencedirect.com/science/article/abs/pii/S0022247X85710293
https://core.ac.uk/display/82824850

A boundary element method for a nonlinear boundary value problem in steady-state heat transfer in dimension three

Authors: Tang Weijun

Source: Applied Mathematics-A Journal of Chinese Universities. 12:427-440

Subject Terms: convergence, Nonlinear boundary value problems for linear elliptic equations, steady-state heat transfer with radiation, Boundary element methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, 0101 mathematics, nonlinear boundary value problem, 01 natural sciences, boundary element method

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Access URL: https://zbmath.org/1112216
https://doi.org/10.1007/s11766-997-0045-4
https://link.springer.com/article/10.1007/s11766-997-0045-4