Convergence Theory of Restricted Multiplicative Schwarz Methods

DOI10.1137/S003614290138944XzbMath1040.65031MaRDI QIDQ4443573

Daniel B. Szyld, Reinhard Nabben

Publication date: 18 January 2004

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

zbMATH Keywords

convergencedomain decompositionparallel algorithms\(M\)-matricesadditive Schwarz methodmultiplicative Schwarz methodmultisplittingsrestricted Schwarz methods

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) Parallel numerical computation (65Y05)

Related Items (11)

Unnamed Item ⋮ On hybrid multigrid-Schwarz algorithms ⋮ Restricted Additive Schwarz Method for Some Inequalities Perturbed by a Lipschitz Operator ⋮ Overlapping multiplicative Schwarz preconditioning for linear and nonlinear systems ⋮ Overlapping restricted additive Schwarz method applied to the linear complementarity problem with an \(H\)-matrix ⋮ Some results about inverse-positive matrices ⋮ On the performance of the algebraic optimized Schwarz methods with applications ⋮ Overlapping restricted additive Schwarz method with damping factor for \(H\)-matrix linear complementarity problem ⋮ Parallel two-grid semismooth Newton-Krylov-Schwarz method for nonlinear complementarity problems ⋮ Additive and restricted additive Schwarz-Richardson methods for inequalities with nonlinear monotone operators ⋮ Semismooth Newton Schwarz iterative methods for the linear complementarity problem

Uses Software

• PETSc

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