Advanced quadrature methods and splitting extrapolation algorithms for first kind boundary integral equations of Laplace's equation with discontinuity solutions

DOI10.1016/j.enganabound.2010.07.004zbMath1244.65201OpenAlexW2115291944MaRDI QIDQ441706

Alexander H.-D. Cheng, Jin Huang, I. L. Chen, Zi Cai Li

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.07.004

zbMATH Keywords

singularityLaplace's equationfirst-kind boundary integral equationsplitting extrapolationadvanced quadrature methoddiscontinuity solutions

Mathematics Subject Classification ID

Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (5)

High-accuracy quadrature methods for solving boundary integral equations of steady-state anisotropic heat conduction problems with Dirichlet conditions ⋮ Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy's equation on polygons by mechanical quadrature methods ⋮ Stability analysis via condition number and effective condition number for the first kind boundary integral equations by advanced quadrature methods, a comparison ⋮ Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods ⋮ Mechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equation

Uses Software

• SERBA

Cites Work

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