Schur Complement Matrix and Its (Elementwise) Approximation: A Spectral Analysis Based on GLT Sequences

DOI10.1007/978-3-319-26520-9_47zbMath1450.65032OpenAlexW25885088MaRDI QIDQ3304798

Stefano Serra Capizzano, Ali Dorostkar, Maya G. Neytcheva

Publication date: 3 August 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-26520-9_47

zbMATH Keywords

Toeplitz matrixblock Toeplitz matrixToeplitz sequenceglacial isostatic adjustmentfinite element method method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)

Related Items

Fast Solution Methods for Convex Quadratic Optimization of Fractional Differential Equations ⋮ Spectral analysis of coupled PDEs and of their Schur complements via generalized locally Toeplitz sequences in 2D

Cites Work

• Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems
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• Spectral analysis of coupled PDEs and of their Schur complements via generalized locally Toeplitz sequences in 2D
• Element-by-Element Schur Complement Approximations for General Nonsymmetric Matrices of Two-by-Two Block Form
• Algebraic multilevel preconditioning of finite element matrices using local Schur complements
• Preconditioning of Boundary Value Problems Using Elementwise Schur Complements
• Additive Schur Complement Approximation and Application to Multilevel Preconditioning
• Preconditioning methods for linear systems arising in constrained optimization problems
• On the Asymptotic Spectrum of Finite Element Matrix Sequences
• Spectral Analysis and Spectral Symbol of $d$-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices
• Finite Elements

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