On the Conjugate Gradient Solution of the Schur Complement System Obtained from Domain Decomposition

DOI10.1137/0727094zbMath0722.65059OpenAlexW1988190667MaRDI QIDQ3210075

Lois Mansfield

Publication date: 1990

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0727094

zbMATH Keywords

Schur complementdomain decompositionpreconditioningconjugate gradient methoddeflationfinite-elementNumerical examplescondition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (12)

Approximate method for solving an elliptic problem with discontinuous coefficients ⋮ Deflated preconditioned conjugate gradient solvers for the pressure-Poisson equation: Extensions and improvements ⋮ On deflation and singular symmetric positive semi-definite matrices ⋮ The parallel subdomain-levelset deflation method in reservoir simulation ⋮ Deflated preconditioned conjugate gradient solvers for the pressure-Poisson equation ⋮ Twofold deflation preconditioning of linear algebraic systems. I: Theory ⋮ The construction of an algebraically reduced system for the acceleration of preconditioned conjugate gradients ⋮ Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods ⋮ Robust Preconditioners via Generalized Eigenproblems for Hybrid Sparse Linear Solvers ⋮ Projections, Deflation, and Multigrid for Nonsymmetric Matrices ⋮ A family of physics-based preconditioners for solving elliptic equations on highly heterogeneous media ⋮ Parallelization of a finite volumes discretization for anisotropic diffusion problems using an improved Schur complement technique

This page was built for publication: On the Conjugate Gradient Solution of the Schur Complement System Obtained from Domain Decomposition