Space-Time Finite Element Methods for Parabolic Problems

作者:Steinbach Olaf*
来源:Computational Methods in Applied Mathematics, 2015, 15(4): 551-566.
DOI:10.1515/cmam-2015-0026

摘要

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.

  • 出版日期2015-10