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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We pay attention to a coupled problem by a penalty term which is induced from non-overlapping domain decomposition methods based on augmented Lagrangian methodology. The coupled problem is composed by two parts mainly; one is a problem associated with local problems in non-overlapping subdomains and the other is a coupled part over all subdomains due to the penalty term. For the speedup of iterative solvers for the coupled problem, we propose two different types of preconditioners: a block-diagonal preconditioner and an additive Schwarz preconditioner as overlapping domain decomposition methods. We analyze the coupled problem and the preconditioned problems in terms of their condition numbers. Finally we present numerical results which show the performance of the proposed methods.
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참고문헌 (18)
참고문헌 신청
O. Axelsson / 1988 / Block preconditioning and domain decomposition methods. II / J. Comput. Appl. Math 24(1-2):55~72
A. T. Barker / 2011 / Two-level additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method / J. Sci. Comput 47(1):27~49
O. A. Bauchau / 2010 / Parallel computation approaches for exible multibody dynamics sim-ulations / J. Franklin Inst 347(1):53~68
S. C. Brenner / 1999 / The condition number of the Schur complement in domain decomposition / Numer. Math 83(2):187~203
S. C. Brenner / 2008 / The Mathematical Theory of Finite Element Methods / Texts in Applied Mathematics 15
A. T. Barker / 2011 / Two-level additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method / J. Sci. Comput 47(1):27~49
O. A. Bauchau / 2010 / Parallel computation approaches for exible multibody dynamics sim-ulations / J. Franklin Inst 347(1):53~68
S. C. Brenner / 1999 / The condition number of the Schur complement in domain decomposition / Numer. Math 83(2):187~203
S. C. Brenner / 2008 / The Mathematical Theory of Finite Element Methods / Texts in Applied Mathematics 15
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