Isoparametric multigrid method for reaction-diffusion equations on two-dimensional domains

DOI10.1016/j.apnum.2005.11.007zbMath1106.65107OpenAlexW2094529355MaRDI QIDQ850188

Michael Jung, Todor Dimitrov Todorov

Publication date: 15 November 2006

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2005.11.007

zbMATH Keywords

algorithmstabilityconvergencereaction-diffusion problemsisoparametric finite elementsnonnested multigrid method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

A ninth-order convergent method for solving the steady state reaction-diffusion model ⋮ The optimal refinement strategy for 3-D simplicial meshes ⋮ Refinement strategies related to cubic tetrahedral meshes ⋮ Nonlocal problem for a general second-order elliptic operator ⋮ Stable subdivision of 4D polytopes ⋮ Dirichlet problem for a nonlocal \(p\)-Laplacian elliptic equation

Cites Work

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• The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms

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