Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods

DOI10.1137/18M1193505zbMath1425.65184arXiv1811.09909MaRDI QIDQ5241249

Tim Wildey, Sriramkrishnan Muralikrishnan, Tan Bui-Thanh

Publication date: 30 October 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09909

zbMATH Keywords

iterative solversDirichlet-to-Neumann mapshigh-ordergeometric multigridhybridized methodsmultinumerics

Mathematics Subject Classification ID

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) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (9)

A multilevel approach for trace system in HDG discretizations ⋮ Preconditioning for a Pressure-Robust HDG Discretization of the Stokes Equations ⋮ Optimal Geometric Multigrid Preconditioners for HDG-P0 Schemes for the reaction-diffusion equation and the Generalized Stokes equations ⋮ Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations ⋮ Two-level Schwarz methods for hybridizable discontinuous Galerkin methods ⋮ IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems ⋮ Local Fourier Analysis of Multigrid for Hybridized and Embedded Discontinuous Galerkin Methods ⋮ An H-Multigrid Method for Hybrid High-Order Discretizations ⋮ Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods

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