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Robust domain decomposition algorithms for multiscale PDEs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/nla.324openalex-snapshot
Grid transfer operators for highly variable coefficient problems in two‐level non‐overlapping domain decomposition methods
inferredcites →https://doi.org/10.1002/nla.571openalex-snapshot
A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners
inferredcites →https://doi.org/10.1006/jcph.1997.5682openalex-snapshot
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media
inferredcites →https://doi.org/10.1006/jcph.1999.6255openalex-snapshot
An Efficient Preconditioned CG Method for the Solution of a Class of Layered Problems with Extreme Contrasts in the Coefficients
inferredcites →https://doi.org/10.1006/jcph.2000.6593openalex-snapshot
Parallel Computation of Flow in Heterogeneous Media Modelled by Mixed Finite Elements
inferredcites →https://doi.org/10.1007/b137868openalex-snapshot
Domain Decomposition Methods — Algorithms and Theory
inferredcites →https://doi.org/10.1007/s00211-007-0074-1openalex-snapshot
Domain decomposition for multiscale PDEs
inferredcites →https://doi.org/10.1007/s00607-007-0237-zopenalex-snapshot
Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients
inferredcites →https://doi.org/10.1007/s102550200004openalex-snapshot
Multiscale Domain Decomposition Methods for Elliptic Problems with High Aspect Ratios
inferredcites →https://doi.org/10.1017/s0962492900002427openalex-snapshot
Domain decomposition algorithms
inferredcites →https://doi.org/10.1090/conm/157openalex-snapshot
Domain Decomposition Methods in Science and Engineering
inferredcites →https://doi.org/10.1090/s0025-5718-96-00757-0openalex-snapshot
Balancing domain decomposition for problems with large jumps in coefficients
inferredcites →https://doi.org/10.1093/imanum/19.2.291openalex-snapshot
An analysis of a preconditioner for the discretized pressure equation arising in reservoir simulation
inferredcites →https://doi.org/10.1137/040608246openalex-snapshot
A Comparison of Deflation and the Balancing Preconditioner
inferredcites →https://doi.org/10.1137/0724027openalex-snapshot
Deflation of Conjugate Gradients with Applications to Boundary Value Problems
inferredcites →https://doi.org/10.1137/s0036142903430451openalex-snapshot
A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow
inferredcites →https://doi.org/10.1137/s1064827596305593openalex-snapshot
Unstructured Additive Schwarz--Conjugate Gradient Method for Elliptic Problems with Highly Discontinuous Coefficients
inferredcites →https://doi.org/10.1137/s1064827598334277openalex-snapshot
An Energy-minimizing Interpolation for Robust Multigrid Methods
inferredcites →https://doi.org/10.1137/s1064827598340809openalex-snapshot
Algebraic Two-Level Preconditioners for the Schur Complement Method
inferredcites →https://doi.org/10.1137/s1064827599361047openalex-snapshot
AMGE Based on Element Agglomeration
inferredcites →https://doi.org/10.2307/2008709openalex-snapshot
Domain Decomposition Methods

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A generalized predictive analysis tool for multigrid methods
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Domain decomposition preconditioners for multiscale problems in linear elasticity
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Energy‐minimizing coarse spaces for two‐level Schwarz methods for multiscale PDEs
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Multiscale Finite Elements for Linear Elasticity: Oscillatory Boundary Conditions
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Recent Results on Domain Decomposition Preconditioning for the High-Frequency Helmholtz Equation Using Absorption
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Coefficient-explicit Condition Number Bounds for Overlapping Additive Schwarz
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Mixed Multiscale Methods for Heterogeneous Elliptic Problems
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Preliminaries
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One-Level FETI/BETI Methods
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Multiscale Problems
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Unbounded Domains
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Dual-Primal Methods
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Robust Coarsening in Multiscale PDEs
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Domain decomposition for multiscale PDEs
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Analysis of FETI methods for multiscale PDEs
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Analysis of FETI methods for multiscale PDEs. Part II: interface variation
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Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials
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Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients
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Robust multigrid preconditioners for cell-centered finite volume discretization of the high-contrast diffusion equation
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Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods
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Two-level additive Schwarz methods using rough polyharmonic splines-based coarse spaces
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Multiscale Methods for Wave Problems in Heterogeneous Media
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A note on variational multiscale methods for high-contrast heterogeneous porous media flows with rough source terms
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Multiscale finite element methods for high-contrast problems using local spectral basis functions
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Local–global multiscale model reduction for flows in high-contrast heterogeneous media
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Robust domain decomposition methods for high-contrast multiscale problems on irregular domains with virtual element discretizations
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A highly parallelized multiscale preconditioner for Darcy flow in high-contrast media
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Scaling up through domain decomposition
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Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption
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A new multiscale finite element method for high-contrast elliptic interface problems
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Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients
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Convergence analysis on multigrid methods for elliptic problems with large jumps in coefficients
inferred← citeshttps://doi.org/10.1108/compel-03-2021-0073openalex-snapshot
Domain decomposition and upscaling technique for metascreens
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Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media
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Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy
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Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains
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A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems
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A Multiscale HDG Method for Second Order Elliptic Equations. Part I. Polynomial and Homogenization-Based Multiscale Spaces
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An Efficient Multiscale Preconditioner for Large-Scale Highly Heterogeneous Flow
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An Adaptive Preconditioner for Three-Dimensional Single-Phase Compressible Flow in Highly Heterogeneous Porous Media
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A Robust Two-Level Overlapping Preconditioner for Darcy Flow in High-Contrast Media
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Multilevel Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems with Jump Coefficients
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Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps
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Two-Level Domain Decomposition Methods for Highly Heterogeneous Darcy Equations. Connections with Multiscale Methods
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Robust Preconditioners for the High-Contrast Elliptic Partial Differential Equations
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