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Titlebook: Parallel Solution of Partial Differential Equations; Petter Bjørstad,Mitchell Luskin Conference proceedings 2000 Springer Science+Business

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书目名称Parallel Solution of Partial Differential Equations
编辑Petter Bjørstad,Mitchell Luskin
视频video
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: Parallel Solution of Partial Differential Equations;  Petter Bjørstad,Mitchell Luskin Conference proceedings 2000 Springer Science+Business
描述This IMA Volume in Mathematics and its Applications PARALLEL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of a workshop with the same title. The work­ shop was an integral part of the 1996-97IMA program on "MATHEMAT­ ICS IN HIGH-PERFORMANCE COMPUTING." I would like to thank Petter Bj0rstad of the Institutt for Informatikk, University of Bergen and Mitchell Luskin of the School of Mathematics, University of Minnesota for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda­ tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE The numerical solution of partial differential equations has been of major importance to the development of many technologies and has been the target of much of the development of parallel computer hardware and software. Parallel computers offer the promise of greatly increased perfor­ mance and the routine calculation of previously intractable problems. The papers in this volume were presented at the IMA workshop
出版日期Conference proceedings 2000
关键词Scala; Sparse matrix; differential equation; finite element method; partial differential equation
版次1
doihttps://doi.org/10.1007/978-1-4612-1176-1
isbn_softcover978-1-4612-7034-8
isbn_ebook978-1-4612-1176-1Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer Science+Business Media New York 2000
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Adaptive Finite Element Methods for Domain Decomposition on Nonmatching Grids,r finite elements. We start from an initial nonoverlapping decomposition of the computational domain and independent triangulations of the subdomains realizing weak continuity conditions on the internal subdomain boundaries by means of appropriately chosen Lagrangian multipliers. The solution proces
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Solution of Multi-Dimensional Radiative Transfer Problems on Parallel Computers,ith some remarks on coefficient functions in astrophysics and mathematical analysis. Then, a suitable discretization method is presented together with the concept of residual based a posteriori error estimates and adaptive grid refinement in 2D and 3D. The resulting linear system has the eigenvalue
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A Lagrange Multiplier/Fictitious Domain/Collocation Method for Solid-Liquid Flows,us flow modelled by the Navier-Stokes equations around moving rigid bodies; the rigid body motions are due to hydrodynamical forces and gravity. The solution method combines finite element approximations, time discretization by operator splitting and conjugate gradient algorithms for the solution of
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