A BDDC preconditioner for a symmetric interior penalty Galerkin method
Electronic transactions on numerical analysis, Tome 46 (2017), pp. 190-214.

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Summary: We develop a nonoverlapping domain decomposition preconditioner for the symmetric interior penalty Galerkin method for heterogeneous elliptic problems. The preconditioner is based on balancing domain decomposition by constraints (BDDC). We show that the condition number of the preconditioned system satisfies similar estimates as those for conforming finite element methods. Corroborating numerical results are also presented.
Classification : 65N55, 65N30
Keywords: nonoverlapping domain decomposition, BDDC preconditioner, symmetric interior penalty method
@article{ETNA_2017__46__a4,
     author = {Brenner, Susanne C. and Park, Eun-Hee and Sung, Li-Yeng},
     title = {A {BDDC} preconditioner for a symmetric interior penalty {Galerkin} method},
     journal = {Electronic transactions on numerical analysis},
     pages = {190--214},
     publisher = {mathdoc},
     volume = {46},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2017__46__a4/}
}
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Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng. A BDDC preconditioner for a symmetric interior penalty Galerkin method. Electronic transactions on numerical analysis, Tome 46 (2017), pp. 190-214. http://geodesic.mathdoc.fr/item/ETNA_2017__46__a4/