We construct a posteriori error estimators for approximate solutions of linear parabolic equations. We consider discretizations of the problem by modified discontinuous Galerkin schemes in time and continuous Galerkin methods in space. Especially, finite element spaces are permitted to change at different time levels. Exploiting Crank-Nicolson reconstruction idea introduced by Akrivis, Makridakis & Nochetto , we derive space-time a posteriori error estimators of second order in time for the Crank-Nicolson-Galerkin finite element method.
|Number of pages||14|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Publication status||Published - 2008 Nov|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics