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Titlebook: Discretization Methods and Iterative Solvers Based on Domain Decomposition; Barbara I. Wohlmuth Book 2001 Springer-Verlag Berlin Heidelber

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发表于 2025-3-21 17:21:36 | 显示全部楼层 |阅读模式
书目名称Discretization Methods and Iterative Solvers Based on Domain Decomposition
编辑Barbara I. Wohlmuth
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Computational Science and Engineering
图书封面Titlebook: Discretization Methods and Iterative Solvers Based on Domain Decomposition;  Barbara I. Wohlmuth Book 2001 Springer-Verlag Berlin Heidelber
描述Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.
出版日期Book 2001
关键词Domain decomposition techniques; Schwarz methods; Triangulation; linear elasticity; modeling; mortar fini
版次1
doihttps://doi.org/10.1007/978-3-642-56767-4
isbn_softcover978-3-540-41083-6
isbn_ebook978-3-642-56767-4Series ISSN 1439-7358 Series E-ISSN 2197-7100
issn_series 1439-7358
copyrightSpringer-Verlag Berlin Heidelberg 2001
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发表于 2025-3-21 23:01:19 | 显示全部楼层
1439-7358 differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid technique
发表于 2025-3-22 01:14:28 | 显示全部楼层
Barbara I. WohlmuthIncludes supplementary material:
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Rajat Chatterjee,Chanchal Majumderthin the framework of mortar methods [BMP93, BMP94]. Originally introduced as a domain decomposition method for the coupling of spectral elements, these techniques are used in a large class of nonconforming situations. Thus, the coupling of different physical models, discretization schemes, or non-m
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Aditya Kumar Jha,Sukalyan Chakrabortys. Very often huge systems are obtained, with condition numbers which depend on the meshsize . of the triangulation, which typically grow in proportion to .. Then, classical iteration schemes like Jacobi-, Gauß-Seidel or SOR-type methods result in very slow convergence rates. Fig. 2.1 shows the conv
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