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]

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

< Back