Volume 45, pp. 354-370, 2016.

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

Xuemin Tu and Bin Wang

Abstract

A balancing domain decomposition by constraints (BDDC) algorithm is applied to the linear system arising from a hybridizable discontinuous Galerkin (HDG) discretization of the second-order elliptic problems. Edge/face constraints are enforced across the subdomain interface and the similar condition number bound is obtained as those for conforming finite element discretization. Numerical experiments demonstrate the convergence rate of the proposed algorithm.

Full Text (PDF) [314 KB], BibTeX

Key words

discontinuous Galerkin, HDG, domain decomposition, BDDC

AMS subject classifications

65F10, 65N30, 65N55

Links to the cited ETNA articles

[37]	Vol. 20 (2005), pp. 164-179 Xuemin Tu: A BDDC algorithm for a mixed formulation of flow in porous media
[39]	Vol. 26 (2007), pp. 146-160 Xuemin Tu: A BDDC algorithm for flow in porous media with a hybrid finite element discretization

ETNA articles which cite this article

Vol. 52 (2020), pp. 553-570 Xuemin Tu, Bin Wang, and Jinjin Zhang: Analysis of BDDC algorithms for Stokes problems with hybridizable discontinuous Galerkin discretizations

Vol. 58 (2023), pp. 66-83 Yanru Su, Xuemin Tu, and Yingxiang Xu: Robust BDDC algorithms for finite volume element methods

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