Optimal convergence for the implicit space-time discretization of parabolic systems with \(p\)-structure. (English) Zbl 1140.65060

Diening, Lars; Ebmeyer, Carsten; Růžička, Michael

SIAM J. Numer. Anal. 45, No. 2, 457-472 (2007).

The authors deals with a full discretization scheme using continuous piece-wise linear finite elements in space and a backward Euler time discretization. A number of theorems is developed for validation and foundation of the theory. Unfortunately no numerical experiments are performed for validation.

Reviewer: Prabhat Kumar Mahanti (Saint John)

MSC:

65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M15	Error bounds for initial value and initial-boundary value problems involving PDEs
65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35K65	Degenerate parabolic equations

Keywords:

degenerate parabolic system; convergence; error analysis; finite element method; backward Euler time discretization