On the Galerkin method with vector basis functions
type: Item
instance of: scholarly article
title: On the Galerkin method with vector basis functions
zbMATH Open document ID: 0716.65053
DOI: 10.1016/0096-3003(91)90114-3
author: Hong Zhang
author: Xiaoyi Min
published in: Applied Mathematics and Computation
publication date: 1991-01-01T00:00:00Z
review text: Certain electrodynamic problems can be formulated as Fredholm integral equations of the second kind. We quote from the abstract: ``The Galerkin method with new vector basis functions has been used by researchers in electrical engineering... the new vector basis functions are ideally suited for representing the surface electric current and surface magnetic current... A theoretical analysis of the convergence, error estimate, and numerical stability of this method is given for certain types of integral equations.''
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 47A50
zbMATH DE Number: 4180679
zbMATH Keywords: linear operator equations
zbMATH Keywords: projection method
zbMATH Keywords: Fredholm integral equations of the second kind
zbMATH Keywords: Galerkin method
zbMATH Keywords: convergence
zbMATH Keywords: error estimate
zbMATH Keywords: numerical stability
reviewed by: Ernst Hairer
MaRDI profile type: Publication
full work available at URL: 0096-3003(91)90114-3
OpenAlex ID: W2029826975
cites work: Q4124250
cites work: Applications of functional analysis and operator theory
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description: scientific article; zbMATH DE number 4180679