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Keywords:

  • non-overlapping domain decomposition;
  • BDDC preconditioner;
  • weakly over-penalized symmetric interior penalty methods;
  • discontinuous Galerkin methods

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.