Overlapping Schwarz methods for unstructured spectral elements

DOI10.1006/jcph.2000.6463zbMath0957.65104OpenAlexW2058046779MaRDI QIDQ1979138

Luca F. Pavarino, Timothy Warburton

Publication date: 12 March 2001

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2000.6463

zbMATH Keywords

numerical examplesSchur complementdomain decompositionunstructured meshesparallel computationspectral elementselliptic problemspreconditionerKrylov subspace methodoverlapping Schwarz methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (12)

Anhp-adaptive refinement strategy for hypersingular operators on surfaces ⋮ Deflation-accelerated preconditioning of the Poisson-Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method ⋮ Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations ⋮ Solver Composition Across the PDE/Linear Algebra Barrier ⋮ Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains ⋮ Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media ⋮ Preconditioned spectral multi-domain discretization of the incompressible Navier-Stokes equations ⋮ Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves ⋮ BDDC and FETI-DP preconditioners for spectral element discretizations ⋮ An application of domain decomposition methods with non-conforming spectral element/Fourier expansions for the incompressible Navier-Stokes equations ⋮ Hybrid multigrid/Schwarz algorithms for the spectral element method ⋮ A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements

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