Projector preconditioning and domain decomposition methods

DOI10.1016/0096-3003(90)90036-3zbMath0701.65078OpenAlexW2088408290MaRDI QIDQ914344

Zdeněk Dostál

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0096-3003(90)90036-3

zbMATH Keywords

domain decompositionconjugate gradient methodPoisson equation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Symmetric FE–BE coupling with iterations on the interface ⋮ Conjugate progector preconditioning for the solution of contact problems ⋮ Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach ⋮ Adaptive Coarse Spaces for FETI-DP in Three Dimensions

Cites Work

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• The rate of convergence of conjugate gradients
• Block preconditioning and domain decomposition methods. II
• The \(QR\) algorithm for band symmetric matrices
• Deflation of Conjugate Gradients with Applications to Boundary Value Problems
• Conjugate gradient method with preconditioning by projector