Some multilevel methods on graded meshes

DOI10.1016/S0377-0427(01)00354-5zbMath0996.65136MaRDI QIDQ5957947

J. Tabka, Serge Nicaise, Michael Jung

Publication date: 23 October 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite elementsnumerical examplesmultilevel methodsmesh refinementgraded meshesBPX iteration

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (max. 100)

Saddle point least squares preconditioning of mixed methods ⋮ Mesh grading in isogeometric analysis

Uses Software

• PLTMG

Cites Work

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• On the multi-level splitting of finite element spaces
• Multilevel preconditioning
• An analysis of a mixed finite element method for the Navier-Stokes equations
• A basic norm equivalence for the theory of multilevel methods
• Multilevel Schwarz methods
• On the finite element method
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Iterative Methods by Space Decomposition and Subspace Correction
• Optimal-Order Nonnested Multigrid Methods for Solving Finite Element Equations II: On Non-Quasi-Uniform Meshes
• New Estimates for Multilevel Algorithms Including the V-Cycle
• Equivalent Norms for Sobolev Spaces

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