Finite element methods for semilinear elliptic problems with smooth interfaces
type: Item
instance of: scholarly article
title: Finite element methods for semilinear elliptic problems with smooth interfaces
zbMATH Open document ID: 1229.65212
author: Bhupen Deka
author: Tazuddin Ahmed
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2011-11-04T00:00:00Z
review text: The authors study finite element methods for semilinear elliptic problems with smooth interfaces. They first introduce the finite element discretization and some known results for elliptic interface problem. Later they present some new optimal a priori error estimates for linear elliptic interface problem. Convergence of finite element solution of semilinear elliptic interface problem and a computational example for elliptic interface problem are presented.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 5968244
zbMATH Keywords: finite element method
zbMATH Keywords: optimal error estimate
zbMATH Keywords: numerical example
zbMATH Keywords: semilinear elliptic problems
zbMATH Keywords: smooth interfaces
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s13226-011-0014-8
OpenAlex ID: W2042045051
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DOI: 10.1007/S13226-011-0014-8
description: scientific article; zbMATH DE number 5968244