Block Preconditioners for Coupled Physics Problems

DOI10.1137/120883086zbMath1281.65055OpenAlexW2056349968MaRDI QIDQ2870696

G. Dillon, Robert C. Kirby, Victoria E. Howle

Publication date: 21 January 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120883086

zbMATH Keywords

numerical examplesfinite elementgeneralized eigenvalue problemBénard convectionbidomain equationsblock preconditioners

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)

Related Items (8)

A new block preconditioner and improved finite element solver of Poisson-Nernst-Planck equation ⋮ Parallel preconditioners for monolithic solution of shear bands ⋮ A Hierarchical Low Rank Schur Complement Preconditioner for Indefinite Linear Systems ⋮ A two-parameter modified splitting preconditioner for the bidomain equations ⋮ An overlapping domain decomposition preconditioning method for monolithic solution of shear bands ⋮ Unified computational framework for the efficient solution of \(n\)-field coupled problems with monolithic schemes ⋮ Efficiency of Micro-Macro Models for Reactive Two-Mineral Systems ⋮ A splitting preconditioner for a block two-by-two linear system with applications to the bidomain equations

Uses Software

• AztecOO
• ML
• Sundance
• Belos

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