Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems (Q5253558)

scientific article; zbMATH DE number 6440232

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English	Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems	scientific article; zbMATH DE number 6440232

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instance of

scholarly article

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title

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

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zbMATH Open document ID

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Paola Francesca Antonietti

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Marco Verani

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published in

SIAM Journal on Numerical Analysis

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publication date

27 May 2015

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full work available at URL

https://arxiv.org/abs/1310.6573

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Mathematics Subject Classification ID

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$hp$-version discontinuous Galerkin

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multigrid algorithms

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elliptic problems

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geometric multigrid

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MaRDI profile type

MaRDI publication profile

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Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case

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Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems

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Q5268576

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Substructuring preconditioners for an $h$-$p$ domain decomposition method with interior penalty mortaring

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Schwarz methods for a preconditioned WOPSIP method for elliptic problems

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Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains

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A class of domain decomposition preconditioners for $hp$-discontinuous Galerkin finite element methods

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An Interior Penalty Finite Element Method with Discontinuous Elements

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Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems

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High&hyphen;order accuratep&hyphen;multigrid discontinuous Galerkin solution of the Euler equations

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Q4272015

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Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes

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Multigrid methods for the symmetric interior penalty method on graded meshes

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A $W$-cycle algorithm for a weakly over-penalized interior penalty method

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A balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method

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The Mathematical Theory of Finite Element Methods

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Convergence of Multigrid Algorithms for Interior Penalty Methods

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Q4500701

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Multilevel preconditioning of discontinuous Galerkin spectral element methods. Part I: geometrically conforming meshes

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Q5268571

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BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/hp elements with variable local polynomial degree

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

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A Unified Analysis of Balancing Domain Decomposition by Constraints for Discontinuous Galerkin Discretizations

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BDDC methods for discontinuous Galerkin discretization of elliptic problems

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Additive Average Schwarz Methods for Discretization of Elliptic Problems with Highly Discontinuous Coefficients

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Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems

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Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the biharmonic equation

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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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Q3727300

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Nitsche type mortaring for some elliptic problem with corner singularities

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Two-Level Fourier Analysis of a Multigrid Approach for Discontinuous Galerkin Discretization

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Fourier two‐level analysis for discontinuous Galerkin discretization with linear elements

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mardi Publication:5253558