On the construction of preconditioners by subspace decomposition

DOI10.1016/0377-0427(90)90357-6zbMath0688.65023OpenAlexW2166576871MaRDI QIDQ1263931

J. Thomas King

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90357-6

zbMATH Keywords

Fredholm integral equationsiterative methodsmultigrid methodGalerkin's methodpreconditionerTikhonov regularizationfinite-element method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) 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) Numerical computation of matrix norms, conditioning, scaling (65F35) Fredholm integral equations (45B05)

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Cites Work

• A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice
• A minimal error conjugate gradient method for ill-posed problems
• An Iterative Method for Elliptic Problems on Regions Partitioned into Substructures
• New Convergence Estimates for Multigrid Algorithms
• An Optimal Order Process for Solving Finite Element Equations
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• An Iteration Formula for Fredholm Integral Equations of the First Kind
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