Cascading Multilevel Finite-Element Analysis for Local and Nonlocal Parabolic Problems

DOI10.1080/01630563.2010.542264zbMath1227.65095OpenAlexW2016006130MaRDI QIDQ3016303

Jingtang Ma

Publication date: 15 July 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.542264

zbMATH Keywords

algorithmsconvergencesemilinear parabolic equationfinite element algorithmNewton iterationsPicard linearizationnonlocal parabolic problemscascading multigrid method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Semilinear parabolic equations (35K58)

Cites Work

• Unnamed Item
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• The cascadic multigrid method for elliptic problems
• Two-dimensional cascadic finite element computations of combustion problems
• Abstract cascading multigrid preconditioners in Besov spaces
• Cascadic multigrid methods for parabolic problems
• Finite Element Methods for Integrodifferential Equations
• A multilevel successive iteration method for nonlinear elliptic problems
• Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
• The Mathematical Theory of Finite Element Methods

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