Geodesic
A BDDC algorithm for second-order elliptic problems with hybridizable discontinuous Galerkin discretizations
Electronic transactions on numerical analysis, Tome 45 (2016), pp. 354-370
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.
Classification : 65F10, 65N30, 65N55
Keywords: discontinuous Galerkin, HDG, domain decomposition, BDDC 
@article{ETNA_2016__45__a7,
     author = {Tu,  Xuemin and Wang,  Bin},
     title = {A {BDDC} algorithm for second-order elliptic problems with hybridizable discontinuous {Galerkin} discretizations},
     journal = {Electronic transactions on numerical analysis},
     pages = {354--370},
     year = {2016},
     volume = {45},
     zbl = {1352.65630},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2016__45__a7/}
}
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EP  - 370
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UR  - http://geodesic.mathdoc.fr/item/ETNA_2016__45__a7/
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%A Tu,  Xuemin
%A Wang,  Bin
%T A BDDC algorithm for second-order elliptic problems with hybridizable discontinuous Galerkin discretizations
%J Electronic transactions on numerical analysis
%D 2016
%P 354-370
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%U http://geodesic.mathdoc.fr/item/ETNA_2016__45__a7/
%G en
%F ETNA_2016__45__a7
Tu,  Xuemin; Wang,  Bin. A BDDC algorithm for second-order elliptic problems with hybridizable discontinuous Galerkin discretizations. Electronic transactions on numerical analysis, Tome 45 (2016), pp. 354-370. http://geodesic.mathdoc.fr/item/ETNA_2016__45__a7/