On the robustness of the BPX-preconditioner with respect to jumps in the coefficients

DOI10.1090/S0025-5718-99-01041-8zbMath1043.65121OpenAlexW2003230588MaRDI QIDQ4235510

Peter Oswald

Publication date: 22 March 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01041-8

zbMATH Keywords

robustnesselliptic problems with variable coefficientsFinite element multilevel preconditioners

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Multiresolution weighted norm equivalencies and applications, Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients, Analysis of multilevel methods for eddy current problems, Domain decomposition preconditioning for elliptic problems with jumps in coefficients, A multilevel preconditioner for the C-R FEM for elliptic problems with discontinuous coefficients, Algebraic multigrid methods, Uniform Convergence of Multigrid V-Cycle on Adaptively Refined Finite Element Meshes for Elliptic Problems with Discontinuous Coefficients, UNIFORM CONVERGENT MULTIGRID METHODS FOR ELLIPTIC PROBLEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS, Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients, Parallel subspace correction methods for nearly singular systems, Robust norm equivalencies for diffusion problems

Cites Work

• On the multi-level splitting of finite element spaces
• Multilevel Schwarz methods
• New convergence estimates for multilevel algorithms for finite-element approximations
• Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
• Some Estimates for a Weighted L 2 Projection
• Parallel Multilevel Preconditioners
• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Counterexamples Concerning A Weighted L 2 Projection
• Iterative Methods by Space Decomposition and Subspace Correction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item