Convergence of a Full Discretization of Quasi-linear Parabolic Equations in Isotropic and Anisotropic Orlicz Spaces

DOI10.1137/110854928zbMath1272.65070OpenAlexW1968510453MaRDI QIDQ2840393

Etienne Emmrich, Aneta Wróblewska-Kamińska

Publication date: 18 July 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110854928

zbMATH Keywords

convergence finite element method monotone operator Orlicz spaces backward Euler method a priori error estimate nonstandard growth condition quasi-linear parabolic equations

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Quasilinear parabolic equations (35K59)

Related Items (9)

Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure ⋮ Renormalized solutions to nonlinear parabolic problems in generalized Musielak-Orlicz spaces ⋮ Convergence of a full discretization for a second-order nonlinear elastodynamic equation in isotropic and anisotropic Orlicz spaces ⋮ Numerical analysis of a nonlinear discrete duality finite volume scheme for Leray-Lions type elliptic problems in Orlicz spaces ⋮ Rothe's method for a nonlinear parabolic problem in Musielak–Orlicz spaces ⋮ Equations of second order in time with quasilinear damping: existence in Orlicz spaces via convergence of a full discretisation ⋮ Weak and Young Measure Solutions for Hyperbolic Initial Boundary Value Problems of Elastodynamics in the Orlicz--Sobolev Space Setting ⋮ Rothe time-discretization method for a nonlinear parabolic problem in Orlicz-Sobolev spaces ⋮ Existence of solutions for some quasilinear parabolic systems in Orlicz spaces

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