Domain decomposition preconditioners for elliptic equations with jump coefficients

DOI10.1002/nla.566zbMath1212.65502OpenAlexW2117887684MaRDI QIDQ3588911

Yunrong Zhu

Publication date: 10 September 2010

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.566

zbMATH Keywords

convergencediscontinuous coefficientsdomain decompositionfinite elementsecond-order elliptic boundary value problemsconjugate gradienteffective condition numberjump coefficients

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) PDEs with low regular coefficients and/or low regular data (35R05) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (11)

Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients ⋮ Optimized Schwarz and 2-Lagrange Multiplier Methods for Multiscale Elliptic PDEs ⋮ Domain decomposition preconditioning for elliptic problems with jumps in coefficients ⋮ A multilevel preconditioner for the C-R FEM for elliptic problems with discontinuous coefficients ⋮ Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients ⋮ Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients ⋮ Parallel subspace correction methods for nearly singular systems ⋮ Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods ⋮ Physics-based balancing domain decomposition by constraints for multi-material problems ⋮ Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jump coefficients ⋮ Two-grid methods for semilinear interface problems

Uses Software

• KELLEY

Cites Work

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