A boundary integral method applied to a convection-diffusion problem
type: Item
instance of: scholarly article
title: A boundary integral method applied to a convection-diffusion problem
zbMATH Open document ID: 0946.65119
DOI: 10.1016/S0377-0427(99)00144-2
published in: Journal of Computational and Applied Mathematics
publication date: 2000-10-10T00:00:00Z
review text: The author studies boundary integral methods for solving the Dirichlet problem for singularly perturbed convection-diffusion equations in a polygonal domain which are transformed to Helmholtz equations. He formulates several boundary integral equations and obtaines estimates of the single-layer potential operator in dependence of the perturbation parameter. The convergence of Galerkin and Galerkin-Petrov discretizations is discussed and demonstrated using some numerical examples.
reviewed by: Gunther Schmidt
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1398831
zbMATH Keywords: convection-diffusion equations
zbMATH Keywords: singular perturbation
zbMATH Keywords: boundary integral equation
zbMATH Keywords: Galerkin-Petrov scheme
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: Helmholtz equations
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
author: Frank Penzel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1398831