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

Authors


Correspondence to: Susanne C. Brenner, Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, USA.

E-mail: brenner@math.lsu.edu

SUMMARY

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. Copyright © 2012 John Wiley & Sons, Ltd.

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