Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method
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Publication:4628399
DOI10.1137/17M1128903zbMath1412.65129arXiv1705.09907OpenAlexW2922419788MaRDI QIDQ4628399
Richard Tran Mills, Matthew G. Knepley, Béatrice Rivière, Maurice S. Fabien
Publication date: 13 March 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.09907
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items (11)
Homogeneous multigrid for embedded discontinuous Galerkin methods ⋮ \(p\)-multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation ⋮ Optimal Geometric Multigrid Preconditioners for HDG-P0 Schemes for the reaction-diffusion equation and the Generalized Stokes equations ⋮ Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods ⋮ A matrix‐free macro‐element variant of the hybridized discontinuous Galerkin method ⋮ Hybrid multigrid methods for high-order discontinuous Galerkin discretizations ⋮ An \(hp\) error analysis of a hybrid discontinuous mixed Galerkin method for linear viscoelasticity ⋮ Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems ⋮ Local Fourier Analysis of Multigrid for Hybridized and Embedded Discontinuous Galerkin Methods ⋮ Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods ⋮ A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media
Uses Software
Cites Work
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- To CG or to HDG: a comparative study in 3D
- To CG or to HDG: A comparative study
- Exploiting batch processing on streaming architectures to solve 2D elliptic finite element problems: a hybridized discontinuous Galerkin (HDG) case study
- From h to p efficiently: strategy selection for operator evaluation on hexahedral and tetrahedral elements
- \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
- On hybrid multigrid-Schwarz algorithms
- From \(h\) to \(p\) efficiently: implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations
- Additive and multiplicative multi-grid -- a comparison
- Sparse approximate inverse smoothers for geometric and algebraic multigrid
- Parallel multigrid smoothing: Polynomial versus Gauss--Seidel
- A multilevel discontinuous Galerkin method
- Robust multigrid for high-order discontinuous Galerkin methods: a fast Poisson solver suitable for high-aspect ratio Cartesian grids
- Fourier two-level analysis for higher dimensional discontinuous Galerkin discretisation
- A generic interface for parallel cell-based finite element operator application
- Nonuniformly weighted Schwarz smoothers for spectral element multigrid
- Hybrid multigrid/Schwarz algorithms for the spectral element method
- A hybridized discontinuous Galerkin method for the nonlinear Korteweg-de Vries equation
- Multigrid Algorithms for High Order Discontinuous Galerkin Methods
- Multigrid for an HDG method
- Efficiency of high-order elements for continuous and discontinuous Galerkin methods
- Multigrid Techniques
- Multigrid methods for the symmetric interior penalty method on graded meshes
- A convergent multigrid cycle for the hybridized mixed method
- A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems
- The hp -multigrid method applied to hp -adaptive refinement of triangular grids
- When does two-grid optimality carry over to the V-cycle?
- A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems
- Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials
- Fourier two‐level analysis for discontinuous Galerkin discretization with linear elements
- Frequency domain behavior of a set of parallel multigrid smoothing operators
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Load Balancing for Adaptive Multigrid Methods
- Two-Level Fourier Analysis of a Multigrid Approach for Discontinuous Galerkin Discretization
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Barycentric Lagrange Interpolation
- Convergence of Multigrid Algorithms for Interior Penalty Methods
- Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems
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