Galerkin-Type Approximations which are Discontinuous in Time for Parabolic Equations in a Variable Domain

We consider general linear parabolic equations in a given time dependent domain and we describe a general class of Galerkin-type approximations which are continuous with respect to the space variables, but which admit discontinuities with respect to time at each step. Unconditional stability is prov...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 15; no. 5; pp. 912 - 928
Main Author:	Jamet, Pierre
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01-10-1978
Subjects:	Approximation Discrete problems Finite element method Integers Interpolation Mathematical discontinuity Methods Numerical analysis Numerical methods Partial differential equations Spacetime Uniqueness Variables Vertices
Online Access:	Get full text
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Summary:	We consider general linear parabolic equations in a given time dependent domain and we describe a general class of Galerkin-type approximations which are continuous with respect to the space variables, but which admit discontinuities with respect to time at each step. Unconditional stability is proved and a general error estimate is established. These results are applied to certain finite element methods based on space-time finite elements.
ISSN:	0036-1429 1095-7170
DOI:	10.1137/0715059