The method of transformed angular basis function for solving the Laplace equation

DOI10.1016/j.enganabound.2018.04.001zbMath1403.65256OpenAlexW2801576372WikidataQ129922334 ScholiaQ129922334MaRDI QIDQ1658904

Yong Wang, Hui-Qing Zhu, Jaeyoun Oh, XinXiang Li

Publication date: 15 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.04.001

zbMATH Keywords

method of fundamental solutionangular basis functionstransformed angular basis functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

The modified quadrature method for Laplace equation with nonlinear boundary conditions, Interaction between a screw dislocation and an elliptical hole or rigid inclusion by using the angular basis function, Trefftz methods with cracklets and their relation to BEM and MFS, The method of two-point angular basis function for solving Laplace equation, Interaction between a screw dislocation and an elastic elliptical inhomogeneity by using the angular basis function

Cites Work

• Unnamed Item
• Unnamed Item
• The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions
• The method of fundamental solutions for elliptic boundary value problems
• The method of fundamental solutions for scattering and radiation problems.
• Angular basis functions formulation for 2D potential flows with non-smooth boundaries
• The MFS versus the Trefftz method for the Laplace equation in 3D
• Green's function formulation of Laplace's equation for electromagnetic crack detection
• A novel method for solving the displacement and stress fields of an infinite domain with circular holes and/or inclusions subject to a screw dislocation
• Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
• The method of functional equations for the approximate solution of certain boundary value problems