On Iterative Substructuring Methods for Multiscale Problems

DOI10.1007/978-3-319-05789-7_7zbMath1382.65417OpenAlexW142697276MaRDI QIDQ3133619

Clemens Pechstein

Publication date: 5 February 2018

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

Full work available at URL: https://doi.org/10.1007/978-3-319-05789-7_7

zbMATH Keywords

domain decompositionelliptic problemdiscontinuous coefficientfinite element tearing and interconnecting (FETI) methodsiterative substructuring methods

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) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items

A deluxe FETI-DP preconditioner for a composite finite element and DG method, On Iterative Substructuring Methods for Multiscale Problems, A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients

Cites Work

• Unnamed Item
• Finite and boundary element tearing and interconnecting solvers for multiscale problems
• Analysis of FETI methods for multiscale PDEs. II: Interface variation
• Analysis of FETI methods for multiscale PDEs
• Domain decomposition for multiscale PDEs
• Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method
• Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
• Mixed Multiscale Methods for Heterogeneous Elliptic Problems
• Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids
• 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
• Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
• On Iterative Substructuring Methods for Multiscale Problems
• Total FETI-an easier implementable variant of the FETI method for numerical solution of elliptic PDE
• UNIFORM CONVERGENT MULTIGRID METHODS FOR ELLIPTIC PROBLEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Unstructured Additive Schwarz--Conjugate Gradient Method for Elliptic Problems with Highly Discontinuous Coefficients
• Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains
• Weighted Poincare inequalities