Article
Licensed
Unlicensed
Requires Authentication
A-stable discontinuous Galerkin–Petrov time discretization of higher order
-
F. Schieweck
Published/Copyright:
April 21, 2010
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
© de Gruyter 2010
You are currently not able to access this content.
You are currently not able to access this content.
Keywords for this article
discontinuous finite elements;
Galerkin–Petrov method;
stability and error estimates
