A boundary element method for potential fields with corner singularities

DOI10.1016/S0307-904X(96)00091-1zbMath0885.65123OpenAlexW2022012430MaRDI QIDQ1364536

Hajime Igarashi, Toshihisa Honma

Publication date: 20 April 1998

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(96)00091-1

zbMATH Keywords

singularitiesLaplace equationboundary integral equationsboundary element methodspotential functionsingular corner points

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 (14)

The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method ⋮ On solving the cracked‐beam problem by block method ⋮ An analytical method for linear elliptic PDEs and its numerical implementation ⋮ Model order reduction for meshfree solution of Poisson singularity problems ⋮ Analyze the singularity of the heat flux with a singular boundary element ⋮ Analysis of heat flux singularity at 2D notch tip by singularity analysis method combined with boundary element technique ⋮ A method of harmonic extension for computing the generalized stress intensity factors for Laplace's equation with singularities ⋮ Simulation of singularity in the potential problem with semi-analytical elements ⋮ Block method for problems on L-shaped domains ⋮ Three-dimensional singular boundary elements for corner and edge singularities in potential problems ⋮ An Accurate Singular Boundary Element for Two-Dimensional Problems in Potential Theory with Corner Singularities ⋮ A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain ⋮ On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains ⋮ Solving Laplacian problems with boundary singularities: a comparison of a singular function boundary integral method with the \(p\)/\(hp\) version of the finite element method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• New crack elements for boundary element analysis of elastostatics considering arbitrary stress singularities
• An efficient method for subtracting off singularities at corners for Laplace's equation
• Practical applications of an integral equation method for the solution of Laplace's equation
• Edge effect enforced boundary element analysis of multilayered transmission lines
• Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces

This page was built for publication: A boundary element method for potential fields with corner singularities