A family of nonoverlapping spectral additive Schwarz methods (NOSAS) and their economic versions

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

A comparison of adaptive coarse spaces for iterative substructuring in two dimensions
An adaptive choice of primal constraints for BDDC domain decomposition algorithms
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
Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D
A unified framework for adaptive BDDC
Non-overlapping spectral additive Schwarz methods
The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results
Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method
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
A BDDC Algorithm with Deluxe Scaling for Three-Dimensional H (curl) Problems
PCBDDC: A Class of Robust Dual-Primal Methods in PETSc
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
BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields
From Additive Average Schwarz Methods to Nonoverlapping Spectral Additive Schwarz Methods
Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions
A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients
Additive Average Schwarz Methods for Discretization of Elliptic Problems with Highly Discontinuous Coefficients

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