Additive Schwarz preconditioners for a localized orthogonal decomposition method
type: Item
instance of: scholarly article
title: Additive Schwarz preconditioners for a localized orthogonal decomposition method
zbMATH Open document ID: 1473.65337
author: Yanyan Li
publication date: 2021-06-17T00:00:00Z
full work available at URL: http://etna.mcs.kent.edu/volumes/2021-2030/vol54/abstract.php
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7360543
zbMATH Keywords: multiscale
zbMATH Keywords: localized orthogonal decomposition
zbMATH Keywords: domain decomposition
zbMATH Keywords: additive Schwarz
MaRDI profile type: Publication
OpenAlex ID: W3136924005
cites work: On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM
cites work: The heterogeneous multiscale method
cites work: Q5318420
cites work: Can a finite element method perform arbitrarily badly?
cites work: On the spectra of sums of orthogonal projections with applications to parallel computing
cites work: Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
cites work: The Mathematical Theory of Finite Element Methods
cites work: Q4162607
cites work: Polynomial Approximation of Functions in Sobolev Spaces
cites work: The heterogeneous multiscale methods
cites work: Analysis of the heterogeneous multiscale method for elliptic homogenization problems
cites work: Multiscale Finite Element Methods
cites work: Q4348514
cites work: Contrast Independent Localization of Multiscale Problems
cites work: Oversampling for the Multiscale Finite Element Method
cites work: Error estimates for a two-dimensional special finite element method based on component mode synthesis
cites work: A special finite element method based on component mode synthesis
cites work: A multiscale finite element method for elliptic problems in composite materials and porous media
cites work: Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
cites work: Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
cites work: The variational multiscale method -- a paradigm for computational mechanics
cites work: Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
cites work: An analysis of a class of variational multiscale methods based on subspace decomposition
cites work: Localization of elliptic multiscale problems
cites work: Domain decomposition methods for the numerical solution of partial differential equations
cites work: Robust numerical upscaling of elliptic multiscale problems at high contrast
cites work: Q4414854
cites work: Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
cites work: Q4716273
cites work: Q4825126
DOI: 10.1553/ETNA_VOL54S234
Recommended article: Optimized Multiplicative, Additive, and Restricted Additive Schwarz Preconditioning
Recommended article: Overlapping Additive Schwarz Preconditioners for Elliptic Problems with Degenerate Locally Anisotropic Coefficients
Recommended article: On additive Schwarz preconditioners for sparse grid discretizations
Recommended article: Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations
Recommended article: Additive Schwarz Preconditioners for Degenerate Problems with Isotropic Coefficients
Recommended article: Additive Schur Complement Approximation and Application to Multilevel Preconditioning
Recommended article: An additive Schwarz preconditioner for the FETI method
Recommended article: Overlapping additive Schwarz preconditioners for boundary element methods
Recommended article: Linear and nonlinear substructured restricted additive Schwarz iterations and preconditioning
Recommended article: A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 7360543