A balancing domain decomposition by constraints preconditioner for a weakly over‐penalized symmetric interior penalty method. Issue 3 (29th March 2012)

• Record Type: Journal Article
• Authors: Brenner, Susanne C.; Park, Eun‐Hee; Sung, Li‐Yeng
• Is Part Of: Numerical linear algebra with applications. Volume 20:Issue 3(2013:May)
• Page Start: 472
• Page End: 491
• Publication Date: 2012-03-29
• Subjects: non‐overlapping domain decomposition -- BDDC preconditioner -- weakly over‐penalized symmetric interior penalty methods -- discontinuous Galerkin methods; Algebras, Linear -- Periodicals; 512.5
• DOI: 10.1002/nla.1838
• Languages: English
• ISSNs: 1070-5325

Abstract

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.