A combination of spectral and finite elements for an exterior problem in the plane
type: Item
instance of: scholarly article
title: A combination of spectral and finite elements for an exterior problem in the plane
zbMATH Open document ID: 1015.65061
DOI: 10.1016/S0168-9274(01)00174-X
author: Salim Meddahi
author: Antonio Márquez
published in: Applied Numerical Mathematics
publication date: 2003-03-10T00:00:00Z
review text: This paper deals with two numerical methods to solve second order partial differential equations posed on exterior domains. The authors derive the Galerkin discretizations of both the Johnson-Nédélec and the symmetric boundary element and finite element methods and give their convergence analysis. These methods are based on a strategy which consists in using a standard finite element method in a bounded region and a trigonometric spectral method for the integral equation posed on a boundary that delimits the domain of computation. A Poisson problem posed in the exterior of an ellipse centered at the origin with a major semiaxis of length 2 and a minor semiaxis of length 1 is tested.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 1879046
zbMATH Keywords: Galerkin method
zbMATH Keywords: Poisson equation
zbMATH Keywords: exterior boundary value problem
zbMATH Keywords: integral equations
zbMATH Keywords: finite element methods
zbMATH Keywords: spectal element methods
zbMATH Keywords: convergence
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
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full work available at URL: s0168-9274(01)00174-x
OpenAlex ID: W2100084542
description: scientific article; zbMATH DE number 1879046