Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems

DOI10.1007/978-3-319-52389-7_18zbMath1367.65186OpenAlexW2597068656MaRDI QIDQ5282907

Axel Klawonn, Oliver Rheinbach, Martin J. Kühn

Publication date: 17 July 2017

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

Full work available at URL: https://doi.org/10.1007/978-3-319-52389-7_18

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element methods applied to problems in solid mechanics (74S05) Iterative numerical methods for linear systems (65F10)

Related Items

Combining machine learning and domain decomposition methods for the solution of partial differential equations—A review, A frugal FETI-DP and BDDC coarse space for heterogeneous problems, Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems, Machine Learning in Adaptive Domain Decomposition Methods---Predicting the Geometric Location of Constraints, Adaptive Coarse Spaces for FETI-DP in Three Dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• A comparison of adaptive coarse spaces for iterative substructuring in two dimensions
• 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
• Adaptive BDDC in three dimensions
• Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps
• Adaptive Coarse Spaces for FETI-DP in Three Dimensions
• 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
• Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
• A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients