Analysis of Schwarz Methods for a Hybridizable Discontinuous Galerkin Discretization

DOI10.1137/140961857zbMath1312.65190arXiv1404.4518OpenAlexW3098328051MaRDI QIDQ5253557

Martin J. Gander, Soheil Hajian

Publication date: 27 May 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4518

zbMATH Keywords

discontinuous Galerkin methodsadditive Schwarzoptimized Schwarz

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) 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) Preconditioners for iterative methods (65F08)

Related Items (13)

A multilevel approach for trace system in HDG discretizations ⋮ Preconditioning for a Pressure-Robust HDG Discretization of the Stokes Equations ⋮ Schwarz methods by domain truncation ⋮ A scalable quasi-Newton estimation algorithm for dynamic generalised linear models ⋮ Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-sized Subdomains: Part II ⋮ An improved iterative HDG approach for partial differential equations ⋮ Two-level Schwarz methods for hybridizable discontinuous Galerkin methods ⋮ iHDG: An Iterative HDG Framework for Partial Differential Equations ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization: The many-subdomain case ⋮ Optimized Schwarz Methods with Overlap for the Helmholtz Equation ⋮ An Optimized Schwarz Algorithm for a Discontinuous Galerkin Method ⋮ BPS preconditioners for a weak Galerkin finite element method for 2D diffusion problems with strongly discontinuous coefficients

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