Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods (Q5208723)

scientific article; zbMATH DE number 7149712

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English	Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods	scientific article; zbMATH DE number 7149712

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instance of

scholarly article

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title

Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods (English)

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SIAM Journal on Scientific Computing

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publication date

10 January 2020

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full work available at URL

https://arxiv.org/abs/1808.05320

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zbMATH Keywords

elliptic interface problems

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discontinuous Galerkin methods

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multigrid methods

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implicitly defined meshes

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MaRDI profile type

MaRDI publication profile

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cites work

Schwarz methods for a preconditioned WOPSIP method for elliptic problems

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Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems

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Multigrid algorithms for $hp$-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes

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Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods

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$V$-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes

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An Interior Penalty Finite Element Method with Discontinuous Elements

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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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High&hyphen;order accurate<i>p</i>&hyphen;multigrid discontinuous Galerkin solution of the Euler equations

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A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations

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Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems

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Convergence of Multigrid Algorithms for Interior Penalty Methods

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Mixed discontinuous Galerkin methods for Darcy flow

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Q4500701

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A Multigrid Tutorial, Second Edition

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An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems

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An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems

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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

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Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids

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The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

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Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method

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$p$-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations

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A multilevel discontinuous Galerkin method

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Q5756148

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Preconditioning Methods for Local Discontinuous Galerkin Discretizations

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A $p$-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids

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Smoothed aggregation multigrid solvers for high-order discontinuous Galerkin methods for elliptic problems

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The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems

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A sparse and high-order accurate line-based discontinuous Galerkin method for unstructured meshes

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An $hp$-analysis of the local discontinuous Galerkin method for diffusion problems

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Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method

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High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles

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Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I

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Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. II

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Algebraic multigrid techniques for discontinuous Galerkin methods with varying polynomial order

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Robust multigrid for high-order discontinuous Galerkin methods: a fast Poisson solver suitable for high-aspect ratio Cartesian grids

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An adaptive level set approach for incompressible two-phase flows

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Q4937239

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Iterative Methods by Space Decomposition and Subspace Correction

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Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods

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Local discontinuous Galerkin methods for partial differential equations with higher order derivatives

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Identifiers

zbMATH Open document ID

1435.65225

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DOI

10.1137/18M1206357

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5208723