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.
Original language | English |
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Pages (from-to) | 551-566 |
Journal | Computational Methods in Applied Mathematics |
Volume | 15 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2015 |
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)