An improved boundary element method for the charge density of a thin electrified plate in ℝ3

DOI10.1002/mma.1670130403zbMath0717.65093OpenAlexW1968997964MaRDI QIDQ5748853

S. Abou El-Seoud, Vincent J. Ervin, Ernst Peter Stephan

Publication date: 1990

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670130403

zbMATH Keywords

convergenceGalerkin methodboundary element methodLaplace equationNumerical resultsDirichlet screen problemcharge density of a thin electrified plateGalerkin arrayssingular Fredholm integral equation of the first kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38) Electro- and magnetostatics (78A30)

Related Items (9)

Singularity analysis of Lorentzian hypersurfaces on pseudo n‐spheres ⋮ Localization and post processing for the Galerkin boundary element method applied to three-dimensional screen problems ⋮ Schwarz iterations for the efficient solution of screen problems with boundary elements ⋮ Convergence of boundary element collocation methods for dirichlet and neumann screen problems in R³ ⋮ Boundary elements with mesh refinements for the wave equation ⋮ Quotient-space boundary element methods for scattering at complex screens ⋮ Galerkin approximation with quadrature for the screen problem in \(\mathbb{R}^3\) ⋮ The \(hp\)-version of the boundary element method for Helmholtz screen problems ⋮ Unnamed Item

Cites Work

• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: An improved boundary element method for the charge density of a thin electrified plate in ℝ³