A BDDC preconditioner for a symmetric interior penalty Galerkin method

Document Type

Article

Publication Date

1-1-2017

Abstract

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.

Publication Source (Journal or Book title)

Electronic Transactions on Numerical Analysis

First Page

190

Last Page

214

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