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Licensed Unlicensed Requires Authentication Published by De Gruyter September 9, 2015

Space-Time Finite Element Methods for Parabolic Problems

  • Olaf Steinbach EMAIL logo

Abstract

We propose and analyze a space-time finite element method for the numerical solution of parabolic evolution equations. This approach allows the use of general and unstructured space-time finite elements which do not require any tensor product structure. The stability of the numerical scheme is based on a stability condition which holds for standard finite element spaces. We also provide related a priori error estimates which are confirmed by numerical experiments.

Received: 2015-7-20
Revised: 2015-8-16
Accepted: 2015-8-28
Published Online: 2015-9-9
Published in Print: 2015-10-1

© 2015 by De Gruyter

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