A frugal FETI-DP and BDDC coarse space for heterogeneous problems
DOI10.1553/etna_vol53s562zbMath1460.65136OpenAlexW2991451110MaRDI QIDQ2228456
Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber
Publication date: 17 February 2021
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol53/abstract.php?vol=53&pages=562-591
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Second-order elliptic equations (35J15) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)
Related Items (7)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A comparison of adaptive coarse spaces for iterative substructuring in two dimensions
- An adaptive choice of primal constraints for BDDC domain decomposition algorithms
- An algebraic theory for primal and dual substructuring methods by constraints
- Analysis of FETI methods for multiscale PDEs
- Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods
- Robust FETI-DP methods for heterogeneous three dimensional elasticity problems
- On the use of inexact subdomain solvers for BDDC algorithms
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D
- Nonlinear BDDC methods with approximate solvers
- Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems
- Adaptive BDDC in three dimensions
- A unified framework for adaptive BDDC
- Local spectra of adaptive domain decomposition methods
- Machine learning in adaptive FETI-DP -- a comparison of smart and random training data
- Physics-based balancing domain decomposition by constraints for multi-material problems
- Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps
- Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
- FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
- Adaptive Coarse Spaces for FETI-DP in Three Dimensions
- Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
- Isogeometric BDDC Preconditioners with Deluxe Scaling
- Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results
- FETI-DP Methods with an Adaptive Coarse Space
- Automatic spectral coarse spaces for robust finite element tearing and interconnecting and balanced domain decomposition algorithms
- Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners
- Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
- Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
- A Highly Scalable Implementation of Inexact Nonlinear FETI-DP Without Sparse Direct Solvers
- An approximate BDDC preconditioner
- Dual-primal FETI methods for linear elasticity
- FETI-DP, BDDC, and block Cholesky methods
- Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations
- Multilevel Balancing Domain Decomposition at Extreme Scales
- Three-Level BDDC in Three Dimensions
- A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis
- An Analysis of a FETI–DP Algorithm on Irregular Subdomains in the Plane
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
- Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results
- BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields
- Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains
- An Adaptive GDSW Coarse Space for Two-Level Overlapping Schwarz Methods in Two Dimensions
- Machine Learning in Adaptive Domain Decomposition Methods---Predicting the Geometric Location of Constraints
- Preconditioning the coarse problem of BDDC methods ‐ three-level, algebraic multigrid, and vertex-based preconditioners
- Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions
- A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity
- A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients
- Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners
- Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems
- Convergence of a balancing domain decomposition by constraints and energy minimization
- Three‐level BDDC in two dimensions
- Highly scalable parallel domain decomposition methods with an application to biomechanics
- On the convergence of a dual-primal substructuring method
This page was built for publication: A frugal FETI-DP and BDDC coarse space for heterogeneous problems