BDDC and FETI-DP Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity

DOI10.1007/978-3-642-15337-2_46zbMath1430.74020OpenAlexW24915357MaRDI QIDQ2998558

Olof B. Widlund, Luca F. Pavarino

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15337-2_46

zbMATH Keywords

spectral element methodpreconditioned conjugate gradient algorithmspectral elementdomain decomposition algorithmprimal constraint

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Classical linear elasticity (74B05) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items

Isogeometric tearing and interconnecting solvers for linear elasticity in multi-patch isogeometric analysis with theory for two dimensional domains

Cites Work

• Unnamed Item
• An algebraic theory for primal and dual substructuring methods by constraints
• Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains
• Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity
• BDDC and FETI-DP preconditioners for spectral element discretizations
• Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity
• A dual-primal FETI method for incompressible Stokes equations
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• Dual-primal FETI methods for linear elasticity
• FETI-DP, BDDC, and block Cholesky methods
• Polynomial approximation of some singular functions
• Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity
• An Overlapping Schwarz Algorithm for Almost Incompressible Elasticity
• A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis
• Mixed and Hybrid Finite Element Methods
• A Preconditioner for Substructuring Based on Constrained Energy Minimization
• Balancing Neumann-Neumann methods for incompressible Stokes equations
• Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. II: Mixed Methods for Linear Elasticity and Stokes Flow
• BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions
• BDDC Algorithms for Incompressible Stokes Equations