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

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

Publication date

May 2013

Publisher

LSU Digital Commons

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