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Titlebook: Boundary Element Analysis; Mathematical Aspects Martin Schanz,Olaf Steinbach Book 2007 Springer-Verlag Berlin Heidelberg 2007 3D.Boundary E

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期刊全称Boundary Element Analysis
期刊简称Mathematical Aspects
影响因子2023Martin Schanz,Olaf Steinbach
视频video
发行地址Latest results in Boundary Element Analysis
学科分类Lecture Notes in Applied and Computational Mechanics
图书封面Titlebook: Boundary Element Analysis; Mathematical Aspects Martin Schanz,Olaf Steinbach Book 2007 Springer-Verlag Berlin Heidelberg 2007 3D.Boundary E
影响因子.This volume contains eleven state of the art contributions on boundary integral equation and boundary element methods. Beside some historical and more analytical aspects in the formulation and analysis of boundary integral equations also modern fast boundary element methods are described and analyzed from a mathematical point of view. In addition, engineering and industrial applications of those methods are presented showing the ability of state of the art boundary element methods to solve challenging problems from different fields of applications...This book is addressed to researchers, graduate students and practitioners working on and using boundary element methods. All contributions also show the great achievements of interdisciplinary research between mathematicians and engineers, with direct applications in industry..
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1613-7736 also show the great achievements of interdisciplinary research between mathematicians and engineers, with direct applications in industry..978-3-642-07999-3978-3-540-47533-0Series ISSN 1613-7736 Series E-ISSN 1860-0816
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Louisiana‘s Response to Extreme Weatheroundary element equations. The efficiency of iterative methods heavily depends on the availability of efficient preconditioners. We consider various solution strategies and provide appropriate preconditioners resulting in asymptotically almost optimal solvers.
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Coupled Finite and Boundary Element Domain Decomposition Methods,oundary element equations. The efficiency of iterative methods heavily depends on the availability of efficient preconditioners. We consider various solution strategies and provide appropriate preconditioners resulting in asymptotically almost optimal solvers.
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Andreanecia M. Morris,Lucas Diazesent two ways of reducing these costs. The first is an a priori cutoff strategy, which allows to replace a substantial part of the matrices by 0. The second is a panel clustering approximation, which further reduces the storage and computational cost by approximating subblocks by low rank matrices.
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https://doi.org/10.1007/978-3-030-27205-0e computational costs and memory requirements from quadratic order to almost linear ones. Three different approaches to realize the boundary integral operators of linear elastostatics by the fast multipole method are described and numerical examples are given for one of these approaches.
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