Journal
NUMERISCHE MATHEMATIK
Volume 119, Issue 3, Pages 409-435Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00211-011-0389-9
Keywords
-
Categories
Funding
- DFG through the Collaborative Research Center [(SFB) 611]
Ask authors/readers for more resources
A fully computable upper bound for the finite element approximation error of Allen-Cahn and Cahn-Hilliard equations with logarithmic potentials is derived. Numerical experiments show that for the sharp interface limit this bound is robust past topological changes. Modifications of the abstract results to derive quasi-optimal error estimates in different norms for lowest order finite element methods are discussed and lead to weaker conditions on the residuals under which the conditional error estimates hold.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available