Self‐regular boundary integral equation formulations for Laplace's equation in 2‐D

DOI10.1002/nme.138zbMath0987.65124OpenAlexW2069164151MaRDI QIDQ2719991

T. A. Cruse, Timothy S. Fisher, Ariosto B. Jorge, Gabriel O. Ribeiro

Publication date: 23 June 2002

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.138

zbMATH Keywords

algorithmsnumerical resultsboundary element methodboundary integral equationLaplace equationpotential problemsself-regular formulation strategy

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (12)

An isogeometric boundary element method for three dimensional potential problems ⋮ A semi-analytical treatment for nearly singular integrals arising in the isogeometric boundary element method-based solutions of 3D potential problems ⋮ A novel boundary element approach for solving the anisotropic potential problems ⋮ Isogeometric dual reciprocity BEM for solving time-domain acoustic wave problems ⋮ A study on singular boundary integrals and stability of 3D time domain boundary element method ⋮ Weakly singular integral equations for Darcy's flow in anisotropic porous media ⋮ An object-oriented tridimensional self-regular boundary element method implementation ⋮ Novel regularized boundary integral equations for potential plane problems ⋮ An isogeometric boundary element method using adaptive integral method for 3D potential problems ⋮ A new boundary integral equation formulation for plane orthotropic elastic media ⋮ Generalized boundary element method for Galerkin boundary integrals ⋮ The semi-analytical evaluation for nearly singular integrals in isogeometric elasticity boundary element method

Cites Work

• The use of simple solutions in the regularization of hypersingular boundary integral equations
• Continuity requirements for density functions in the boundary integral equation method
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Nonsingular BEM for fracture modeling
• Weakly singular stress-BEM for 2D elastostatics
• On the non‐singular traction‐BIE in elasticity
• NON-SINGULAR SOMIGLIANA STRESS IDENTITIES IN ELASTICITY
• HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?
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