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Titlebook: Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations; Tarek Poonithara Abraham Mathew Book 2008 Sprin

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發(fā)表于 2025-3-21 17:34:50 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
編輯Tarek Poonithara Abraham Mathew
視頻videohttp://file.papertrans.cn/283/282489/282489.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Computational Science and Engineering
圖書封面Titlebook: Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations;  Tarek Poonithara Abraham Mathew Book 2008 Sprin
描述.Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. The topics discussed include hybrid formulations, Schwarz, substructuring and Lagrange multiplier methods for elliptic equations, computational issues, least squares-control methods, multilevel methods, non-self adjoint problems, parabolic equations, saddle point applications (Stokes, porous media and optimal control), non-matching grid discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is also included..
出版日期Book 2008
關(guān)鍵詞algorithm; algorithms; differential equation; finite elements; linear algebra; numerical analysis; optimiz
版次1
doihttps://doi.org/10.1007/978-3-540-77209-5
isbn_softcover978-3-540-77205-7
isbn_ebook978-3-540-77209-5Series ISSN 1439-7358 Series E-ISSN 2197-7100
issn_series 1439-7358
copyrightSpringer-Verlag Berlin Heidelberg 2008
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:58:54 | 只看該作者
https://doi.org/10.1007/978-3-540-77209-5algorithm; algorithms; differential equation; finite elements; linear algebra; numerical analysis; optimiz
板凳
發(fā)表于 2025-3-22 00:58:42 | 只看該作者
978-3-540-77205-7Springer-Verlag Berlin Heidelberg 2008
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https://doi.org/10.1007/978-3-031-41550-0 continuous and discrete versions of maximum principles and comparison theorems for elliptic equations, as well as methods for estimating the maximum norm error . factor on subdomains. From a matrix viewpoint, these tools are applicable when the discretization of the given elliptic equation results in a strictly diagonally dominant ..
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發(fā)表于 2025-3-22 15:01:25 | 只看該作者
https://doi.org/10.1007/978-3-031-40165-7In our discussion, we focus on a . subdomain decomposition of the domain of the elliptic equation, into overlapping or non-overlapping subdomains, and introduce the notion of a . of the elliptic equation. A hybrid formulation is a . system of elliptic equations which is . to the original elliptic eq
7#
發(fā)表于 2025-3-22 20:30:45 | 只看該作者
Understanding Evolution in Darwin‘s "Origin"its parallel extensions, such as the additive, hybrid and restricted Schwarz methods. Schwarz methods are based on an . decomposition of the domain, and we describe its formulation to iteratively solve a discretization of a . and . elliptic equation. In contrast with iterative algorithms formulated
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發(fā)表于 2025-3-23 00:37:10 | 只看該作者
Lubnaa Hossenbaccus,Sarah Garvey,Anne Ellis arising from the discretization of a . and . elliptic equation, based on a decomposition of its domain into .. In the ., the solution to an elliptic equation can be parameterized in terms of its unknown Dirichlet values on the subdomain boundaries. This parameterization enables reducing the origina
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