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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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Based on a particular overlapping domain decomposition \linebreak technique, a parallel finite element discretization algorithm for the generalized Stokes equations is proposed and investigated. In this algorithm, each processor computes a local approximate solution in its own subdomain by solving a global problem on a mesh that is fine around its own subdomain and coarse elsewhere, and hence avoids communication with other processors in the process of computations. This algorithm has low communication complexity. It only requires the application of an existing sequential solver on the global meshes associated with each subdomain, and hence can reuse existing sequential software. Numerical results are given to demonstrate the effectiveness of the parallel algorithm.
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참고문헌 (41)
참고문헌 신청
R. Adams / 1975 / Sobolev Spaces / Academic Press Inc
M. Ainsworth / 1999 / Domain decomposition preconditioners for p and hp nite element approximations of Stokes equations, Comput / Methods Appl. Mech. Engrg 175(3-4):243~266
R. E. Bank / 2006 / Some variants of the Bank-Holst parallel adaptive meshing paradigm / Com-put. Vis. Sci 9(3):133~144
R. E. Bank / 2000 / A new paradigm for parallel adaptive meshing algorithms / SIAM J. Sci. Comput 22(4):1411~1443
R. E. Bank / 2001 / A new parallel domain decomposition method for the adaptive nite element solution of elliptic partial di erential equations / Concurrency Computat.: Pract. Exper 13:327~350
M. Ainsworth / 1999 / Domain decomposition preconditioners for p and hp nite element approximations of Stokes equations, Comput / Methods Appl. Mech. Engrg 175(3-4):243~266
R. E. Bank / 2006 / Some variants of the Bank-Holst parallel adaptive meshing paradigm / Com-put. Vis. Sci 9(3):133~144
R. E. Bank / 2000 / A new paradigm for parallel adaptive meshing algorithms / SIAM J. Sci. Comput 22(4):1411~1443
R. E. Bank / 2001 / A new parallel domain decomposition method for the adaptive nite element solution of elliptic partial di erential equations / Concurrency Computat.: Pract. Exper 13:327~350
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