Finite element methods for semilinear elliptic and parabolic interface problems
type: Item
instance of: scholarly article
title: Finite element methods for semilinear elliptic and parabolic interface problems
zbMATH Open document ID: 1172.65064
author: Bhupen Deka
author: Rajen Kumar Sinha
published in: Applied Numerical Mathematics
publication date: 2009-07-02T00:00:00Z
review text: The authors discuss piecewise linear finite element methods for second-order elliptic and parabolic interface problems in two dimensional domains with jumps of coefficients at smooth interfaces lying on the grid. They prove optimal order convergence for the elliptic problem and extend the result to parabolic interface problems, where a semidiscrete and a fully discrete schema based on backward Euler are considered.
reviewed by: Gunther Schmidt
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65M20
zbMATH DE Number: 5574503
zbMATH Keywords: semidiscretization
zbMATH Keywords: finite element method
zbMATH Keywords: optimal error estimate
zbMATH Keywords: convergence
zbMATH Keywords: second-order semilinear elliptic interface problems
zbMATH Keywords: second-order semilinear parabolic interface problems
zbMATH Keywords: backward Euler method
MaRDI profile type: Publication
full work available at URL: j.apnum.2009.02.001
OpenAlex ID: W1984408604
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DOI: 10.1016/J.APNUM.2009.02.001
description: scientific article; zbMATH DE number 5574503