Overlapping Schwarz preconditioners for spectral element methods in nonstandard domains and heterogeneous media

DOI10.1016/j.cam.2010.02.030zbMath1190.65171OpenAlexW2088838825MaRDI QIDQ972759

B. E. Eshmatov

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.02.030

zbMATH Keywords

convergencenumerical examplesheterogeneous mediaspectral elementselliptic problemsGauss-Lobatto-Legendre nodesGordon-Hall transfinite mappingsoverlapping Schwarz preconditionersnonstandard domains

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Preconditioners for iterative methods (65F08)

Related Items

Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Additive Schwarz methods for the \(p\)-version finite element method
• Techniques of scientific computing (Part 2)
• An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
• Overlapping Schwarz methods for unstructured spectral elements
• Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• Overlapping Schwarz Methods for Fekete and Gauss–Lobatto Spectral Elements
• Domain Decomposition Algorithms with Small Overlap
• Quasi-Optimal Schwarz Methods for the Conforming Spectral Element Discretization
• High-Order Methods for Incompressible Fluid Flow
• A reduced-basis element method