Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

DOI10.4208/aamm.12-m12130zbMath1314.65126OpenAlexW2463935453MaRDI QIDQ5498909

Luoping Chen, Yanping Chen

Publication date: 11 February 2015

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.12-m12130

zbMATH Keywords

convergencenumerical exampleerror estimationmixed finite elementsnonlinear reaction-diffusion equationtwo-grid discretizationnonlinear Darcy flow

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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