The interior field method for Laplace's equation in circular domains with circular holes
type: Item
instance of: scholarly article
title: The interior field method for Laplace's equation in circular domains with circular holes
zbMATH Open document ID: 1403.74308
author: John Y. Chiang
author: Hung-Tsai Huang
author: Ming-Gong Lee
author: Zi-Cai Li
published in: Engineering Analysis with Boundary Elements
publication date: 2018-08-09T00:00:00Z
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65N80
zbMATH DE Number: 6915251
zbMATH Keywords: interior field method
zbMATH Keywords: null field method
zbMATH Keywords: Trefftz method
zbMATH Keywords: circular domains
zbMATH Keywords: fundamental solutions
zbMATH Keywords: error analysis
zbMATH Keywords: aliasing errors
MaRDI profile type: Publication
full work available at URL: j.enganabound.2016.03.006
OpenAlex ID: W2328322185
cites work: Q5558293
cites work: A complex variable boundary element method for elliptic partial differential equations in a multiple-connected region
cites work: Q3996272
cites work: Q3214109
cites work: SPECIAL BOUNDARY INTEGRAL EQUATIONS FOR APPROXIMATE SOLUTION OF LAPLACE'S EQUATION IN TWO-DIMENSIONAL REGIONS WITH CIRCULAR HOLES
cites work: Special Boundary Integral Equations for Approximate Solution of Potential Problems in Three-dimensional Regions with Slender Cavities of Circular Cross-section
cites work: A Solution Procedure for Laplace’s Equation on Multiply Connected Circular Domains
cites work: Approximation Results for Orthogonal Polynomials in Sobolev Spaces
cites work: Spectral Methods
cites work: Analysis of Steady Heat Conduction in Regions with Circular Holes by a Special Boundary-integral Method
cites work: A semi-analytical approach for radiation and scattering problems with circular boundaries
cites work: An alternative method for degenerate scale problems in boundary element methods for the two-dimensional Laplace equation
cites work: Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants
cites work: Null‐field approach for Laplace problems with circular boundaries using degenerate kernels
cites work: Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic Problems
cites work: On the use of Somigliana's formula and Fourier series for elasticity problems with circular boundaries
cites work: Boundary integral equations
cites work: Null field and interior field methods for Laplace's equation in actually punctured disks
cites work: Stability of the Fourier Method
cites work: Conservative schemes and degenerate scale problems in the null-field method for Dirichlet problems of Laplace's equation in circular domains with circular holes
cites work: Neumann problems of Laplace's equation in circular domains with circular holes by methods of field equations
cites work: Algorithm singularity of the null-field method for Dirichlet problems of Laplace's equation in annular and circular domains
cites work: Q4397750
cites work: The method of fundamental solutions for annular shaped domains
cites work: Stability analysis of method of fundamental solutions for mixed boundary value problems of Laplace's equation
cites work: The null-field method of Dirichlet problems of Laplace's equation on circular domains with circular holes
cites work: Q5431480
cites work: Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes
cites work: A Galerkin boundary integral method for multiple circular elastic inclusions
cites work: Electrostatics of two intersecting conducting cylinders.
cites work: Spectral and Pseudo Spectral Methods for Advection Equations
cites work: Boundary methods for mixed boundary problems of Laplace's equation in elliptic domains with elliptic holes
DOI: 10.1016/J.ENGANABOUND.2016.03.006
description: scientific article; zbMATH DE number 6915251