A BDDC algorithm for second-order elliptic problems with hybridizable discontinuous Galerkin discretizations

zbMath1352.65630MaRDI QIDQ333601

Xuemin Tu, Bin Wang

Publication date: 31 October 2016

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol45/abstract_vol45_pp354-370.html

zbMATH Keywords

algorithmconvergencedomain decompositionfinite elementnumerical experimentdiscontinuous Galerkinsecond-order elliptic problemcondition number bound

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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 computation of matrix norms, conditioning, scaling (65F35)

Related Items (8)

A BDDC Algorithm for Weak Galerkin Discretizations ⋮ Robust BDDC algorithms for finite volume element methods ⋮ Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations ⋮ Analysis of BDDC algorithms for Stokes problems with hybridizable discontinuous Galerkin discretizations ⋮ BDDC algorithms for advection-diffusion problems with HDG discretizations ⋮ A BDDC algorithm for the Stokes problem with weak Galerkin discretizations ⋮ An H-Multigrid Method for Hybrid High-Order Discretizations ⋮ Robust BDDC algorithms for the Brinkman problem with HDG discretizations

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