Accessible Requires Authentication Published by De Gruyter April 21, 2010

A-stable discontinuous Galerkin–Petrov time discretization of higher order

F. Schieweck
From the journal

Abstract

We construct and analyze a discontinuous Galerkin–Petrov time discretization of a general evolution equation in a Hilbert space. The method is A-stable and exhibits an energy decreasing property. The approach consists in a continuous solution space and a discontinuous test space such that the time derivative of the discrete solution is contained in the test space. This is the key to get stability. We prove A-stability and optimal error estimates. Numerical results confirm the theoretical results.

Received: 2009-12-18
Revised: 2010-02-16
Published Online: 2010-04-21
Published in Print: 2010-April

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