Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods
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Publication:5208723
DOI10.1137/18M1206357zbMath1435.65225arXiv1808.05320OpenAlexW2996648904WikidataQ126557794 ScholiaQ126557794MaRDI QIDQ5208723
Daniel Fortunato, Chris H. Rycroft, Robert I. Saye
Publication date: 10 January 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.05320
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)
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Cites Work
- Unnamed Item
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- Mixed discontinuous Galerkin methods for Darcy flow
- \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
- Smoothed aggregation multigrid solvers for high-order discontinuous Galerkin methods for elliptic problems
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Algebraic multigrid techniques for discontinuous Galerkin methods with varying polynomial order
- An adaptive level set approach for incompressible two-phase flows
- A multilevel discontinuous Galerkin method
- Local discontinuous Galerkin methods for partial differential equations with higher order derivatives
- An \(hp\)-analysis of the local discontinuous Galerkin method for diffusion problems
- Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods
- Robust multigrid for high-order discontinuous Galerkin methods: a fast Poisson solver suitable for high-aspect ratio Cartesian grids
- 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
- 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
- Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes
- \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes
- Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods
- An analysis of the minimal dissipation local discontinuous Galerkin method for convection-diffusion problems
- Schwarz methods for a preconditioned WOPSIP method for elliptic problems
- A sparse and high-order accurate line-based discontinuous Galerkin method for unstructured meshes
- A \(p\)-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
- Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- High‐order accuratep‐multigrid discontinuous Galerkin solution of the Euler equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Iterative Methods by Space Decomposition and Subspace Correction
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Preconditioning Methods for Local Discontinuous Galerkin Discretizations
- A Multigrid Tutorial, Second Edition
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method
- Convergence of Multigrid Algorithms for Interior Penalty Methods
- Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems
- Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
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