Journal
INTERFACES AND FREE BOUNDARIES
Volume 12, Issue 1, Pages 45-73Publisher
EUROPEAN MATHEMATICAL SOC
Keywords
-
Categories
Funding
- Deutsche Forschungsgemeinschaft through the DFG Research Center MATHEON
Ask authors/readers for more resources
For equations of generalized Cahn-Hilliard type we present an a posteriori error analysis that is robust with respect to a small interface length scale gamma. We propose the solution of a fourth order elliptic eigenvalue problem in each time step to gain a fully computable error bound, which only depends polynomially (of low order) on the inverse of gamma. A posteriori and a priori error bounds for the eigenvalue problem are also derived. In numerical examples we demonstrate that this approach extends the applicability of robust a posteriori error estimation as it removes restrictive conditions on the initial data. Moreover we show that the computation of the principal eigenvalue allows the detection of critical points during the time evolution that limit the validity of the estimate.
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