A balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method

Authors

Susanne C. Brenner, Louisiana State University
Eun Hee Park, Louisiana State University
Li Yeng Sung, Louisiana State University

Document Type

Article

Publication Date

5-1-2013

Abstract

We develop a balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method for second-order elliptic problems. 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. © 2012 John Wiley & Sons, Ltd.

Publication Source (Journal or Book title)

Numerical Linear Algebra with Applications

First Page

472

Last Page

491

Recommended Citation

Brenner, S., Park, E., & Sung, L. (2013). A balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method. Numerical Linear Algebra with Applications, 20 (3), 472-491. https://doi.org/10.1002/nla.1838