BDDC and FETI-DP preconditioners for spectral element discretizations

DOI10.1016/j.cma.2006.03.009zbMath1173.65359OpenAlexW2048038372MaRDI QIDQ1033437

Luca F. Pavarino

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.03.009

zbMATH Keywords

domain decomposition methodsspectral elementsBDDCFETI-DPbalancing Neumann-Neumann

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

BDDC and FETI-DP for the virtual element method, BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields, FETI-DP for the Three Dimensional Virtual Element Method, Advances on the domain decomposition solution of large scale porous media problems, Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains, BDDC and FETI-DP Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity, Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes, DUAL-PRIMAL METHODS FOR THE CARDIAC BIDOMAIN MODEL, Fast iterative solver for convection-diffusion systems with spectral elements, Condition number bounds for IETI-DP methods that are explicit in h and p, PCBDDC: A Class of Robust Dual-Primal Methods in PETSc, BDDC PRECONDITIONERS FOR ISOGEOMETRIC ANALYSIS, Convergence theory for IETI-DP solvers for discontinuous Galerkin isogeometric analysis that is explicit in \(h\) and \(p\)

Cites Work

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• A nodal triangle-based spectral element method for the shallow water equations on the sphere
• An algebraic theory for primal and dual substructuring methods by constraints
• Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity
• BDDC and FETI-DP without matrices or vectors
• Techniques of scientific computing (Part 2)
• Spectral elements for transport-dominated equations
• Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity
• The mosaic of high performance domain decomposition methods for structural mechanics: formulation, interrelation and numerical efficiency of primal and dual methods.
• Overlapping Schwarz methods for unstructured spectral elements
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
• FETI-DP, BDDC, and block Cholesky methods
• Overlapping Schwarz Methods for Fekete and Gauss–Lobatto Spectral Elements
• Neumann-Neumann algorithms for spectral elements in three dimensions
• Quasi-Optimal Schwarz Methods for the Conforming Spectral Element Discretization
• A Preconditioner for Substructuring Based on Constrained Energy Minimization
• Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
• High-Order Methods for Incompressible Fluid Flow
• Balancing Neumann-Neumann methods for incompressible Stokes equations
• A Preconditioner Based on Domain Decomposition forh-pFinite-Element Approximation on Quasi-Uniform Meshes
• Convergence of a balancing domain decomposition by constraints and energy minimization
• Low-energy basis preconditioning for elliptic substructured solvers based on unstructured spectral/\(hp\) element discretization