0175265 - MU-W 20030016 RIV CZ eng J - Journal Article
Vejchodský, Tomáš
Fully Discrete Error Estimation by the Method of Lines for a Nonlinear Parabolic Problem.
Applications of Mathematics. Roč. 48, č. 2 (2003), s. 129-151. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA ČR GA201/01/1200
Institutional research plan: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Keywords : a posteriori error estimates * finite element * nonlinear parabollic problems
Subject RIV: BA - General Mathematics

A posteriori error estimates for a nonlinear parabolic problem are introoduced. A fully discrete scheme is studied. The space discretization is based onn a concept of hierarchical finite element basis functions. The time discretization is done using singly implicit Runge-Kutta method (SIRK). The convergence of the effectivity index is proven.
Permanent Link: http://hdl.handle.net/11104/0072249