Obtaining the upper bound of discretization error and critical boundary integrals of circular arc boundary element method

DOI10.1016/j.mcm.2011.08.029zbMath1255.76087OpenAlexW2059719174MaRDI QIDQ1930963

Hossein Hosseinzadeh, Mehdi Dehghan

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.08.029

zbMATH Keywords

error analysisLaplace equationboundary element method (BEM)circular arc element (CAE)singular and near singular boundary integrals

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods applied to problems in fluid mechanics (76M15) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

A new semi-analytic algorithm of nearly singular integrals on higher order element in 3D potential BEM ⋮ A simple and accurate scheme based on complex space \(\mathbb C\) to calculate boundary integrals of 2D boundary elements method ⋮ Improvement of the accuracy in boundary element method based on high-order discretization ⋮ Corner treatment by assigning dual tractions to every node for elastodynamics in TD-BEM ⋮ Calculation of domain integrals of two dimensional boundary element method

Uses Software

• BEMLIB

Cites Work

• Unnamed Item
• An \(hpr\)-mesh refinement algorithm for BEM
• Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method
• Error analysis and novel near-field preconditioning techniques for Taylor series multipole-BEM
• Analytical regularization of hypersingular integral for Helmholtz equation in boundary element method
• An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
• A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn-Hilliard equation
• On the convergence of the panel method for potential problems with non-smooth domains
• Application of bicubic splines in the boundary element method
• The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation
• Large deflection analysis of plates on elastic foundation by the boundary element method
• Exact boundary element integrations for two-dimensional Laplace equation
• Error analysis and adaptive refinement of boundary elements in elastic problem
• Development of circular arc boundary element method
• Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies
• Singular integrals and boundary elements
• Exact integrations of two-dimensional high-order discontinuous boundary elements of elastostatics problems
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics

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