A BDDC PRECONDITIONER FOR A SYMMETRIC INTERIOR PENALTY GALERKIN METHOD

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초록

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.

키워드

nonoverlapping domain decomposition; BDDC preconditioner; symmetric interior penalty method; DOMAIN DECOMPOSITION PRECONDITIONERS; FINITE-ELEMENT-METHOD; ELLIPTIC PROBLEMS; SCHWARZ PRECONDITIONERS; FETI-DP; ENERGY MINIMIZATION; ITERATIVE METHODS; DISCRETIZATIONS; APPROXIMATIONS; CONSTRAINTS
제목
A BDDC PRECONDITIONER FOR A SYMMETRIC INTERIOR PENALTY GALERKIN METHOD
저자
Brenner, Susanne C.; Park, Eun-Hee; Sung, Li-Yeng
발행일
2017
유형
Article
저널명
Electronic Transactions on Numerical Analysis
권
46
페이지
190 ~ 214