Overlapping Schwarz Methods for Unstructured Spectral Elements
Copyright policy )Overlapping Schwarz Methods for Unstructured Spectral Elements
The authors introduce and study a parallel and scalable domain decomposition method for unstructured and hybrid spectral element discretizations of elliptic problems. The spectral elements are affine images of the reference triangle or square in two dimensions and of the reference tetrahedron, pyramid, prism, or cube in three dimensions. The method is based on overlapping Schwarz techniques to the Schur complement of the discrete system and is implemented as a preconditioner for a Krylov subspace method. The results of several numerical experiments performed with the code NekTar are presented.
- University of Milan Italy
- University of Oxford United Kingdom
Iterative numerical methods for linear systems, numerical examples, Multigrid methods; domain decomposition for boundary value problems involving PDEs, preconditioner, Numerical computation of matrix norms, conditioning, scaling, unstructured meshes, elliptic problems, Krylov subspace method, domain decomposition, Boundary value problems for second-order elliptic equations, Schur complement, Spectral, collocation and related methods for boundary value problems involving PDEs, spectral elements, parallel computation, overlapping Schwarz methods
Iterative numerical methods for linear systems, numerical examples, Multigrid methods; domain decomposition for boundary value problems involving PDEs, preconditioner, Numerical computation of matrix norms, conditioning, scaling, unstructured meshes, elliptic problems, Krylov subspace method, domain decomposition, Boundary value problems for second-order elliptic equations, Schur complement, Spectral, collocation and related methods for boundary value problems involving PDEs, spectral elements, parallel computation, overlapping Schwarz methods
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