Volume 46, pp. 190-214, 2017.

A BDDC preconditioner for a symmetric interior penalty Galerkin method

Susanne C. Brenner, Eun-Hee Park, and Li-Yeng Sung


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.

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Key words

nonoverlapping domain decomposition, BDDC preconditioner, symmetric interior penalty method

AMS subject classifications

65N55, 65N30

Links to the cited ETNA articles

[12]Vol. 30 (2008), pp. 107-127 Susanne C. Brenner, Luke Owens, and Li-Yeng Sung: A weakly over-penalized symmetric interior penalty method

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