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

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
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