The use of continuous boundary elements in the boundary elements method for domains with non-smooth boundaries via finite difference approach

DOI10.1016/J.CAMWA.2013.01.026zbMath1266.65200OpenAlexW2051767749MaRDI QIDQ2376751

Zeinab Sedaghatjoo, Mehdi Dehghan, Hossein Hosseinzadeh

Publication date: 24 June 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.01.026

zbMATH Keywords

corner points finite difference method (FDM)singular value decomposition (SVD)boundary elements method (BEM)2D elliptic equations continuous and discontinuous boundary elements

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

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A new extension of boundary elements method for classical elliptic partial differential equations with constant coefficients ⋮ A package program for corner issue in BEM ⋮ A simple and accurate scheme based on complex space \(\mathbb C\) to calculate boundary integrals of 2D boundary elements method ⋮ The stability study of numerical solution of Fredholm integral equations of the first kind with emphasis on its application in boundary elements method ⋮ Corner treatment by assigning dual tractions to every node for elastodynamics in TD-BEM ⋮ Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation

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