A BDDC algorithm for a class of staggered discontinuous Galerkin methods

Hyea Hyun Kim,Eric T Chung,Chak Shing Lee

doi:10.1016/j.camwa.2014.02.001

A BDDC algorithm for a class of staggered discontinuous Galerkin methods

Hyea Hyun Kim, Eric T Chung + Show 1 more

Open Access

https://doi.org/10.1016/j.camwa.2014.02.001

Copy DOI

Journal: Computers and Mathematics with Applications	Publication Date: Feb 25, 2014
Citations: 11	License type: publisher-specific-oa

Affiliation: Kyung Hee University, Texas A&M University, Chinese University of Hong Kong

#Balancing Domain Decomposition By Constraints #Balancing Domain Decomposition By Constraints Algorithm + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

A BDDC (Balancing Domain Decomposition by Constraints) algorithm is developed and analyzed for a staggered discontinuous Galerkin (DG) finite element approximation of second order scalar elliptic problems. On a quite irregular subdomain partition, an optimal condition number bound is proved for two-dimensional problems. In addition, a sub-optimal but scalable condition number bound is obtained for three-dimensional problems. These bounds are shown to be independent of coefficient jumps in the subdomain partition. Numerical results are also included to show the performance of the algorithm.

Full Text