Homogeneous multigrid for HDG

DOI10.1093/IMANUM/DRAB055zbMath1502.65211arXiv2011.14018OpenAlexW3107770572MaRDI QIDQ5042888

Peipei Lu, Guido Kanschat, Andreas Rupp

Publication date: 26 October 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14018

zbMATH Keywords

multigrid methodhybridizable discontinuous Galerkinoptimal convergence proofstable injection operator

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Smoothness and regularity of solutions to PDEs (35B65) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Optimal Geometric Multigrid Preconditioners for HDG-P0 Schemes for the reaction-diffusion equation and the Generalized Stokes equations ⋮ Two-level Schwarz methods for hybridizable discontinuous Galerkin methods

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