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＜電子ブック＞
The Mimetic Finite Difference Method for Elliptic Problems / by Lourenco Beirao da Veiga, Konstantin Lipnikov, Gianmarco Manzini
(MS&A, Modeling, Simulation and Applications. ISSN:20375263 ; 11)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XVI, 394 p : online resource
著者標目	*Beirao da Veiga, Lourenco author Lipnikov, Konstantin author Manzini, Gianmarco author SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Mathematical physics LCSH:Differential equations LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical Physics FREE:Differential Equations FREE:Mathematical and Computational Engineering Applications
一般注記	1 Model elliptic problems -- 2 Foundations of mimetic finite difference method -- 3 Mimetic inner products and reconstruction operators -- 4 Mimetic discretization of bilinear forms -- 5 The diffusion problem in mixed form -- 6 The diffusion problem in primal form -- 7 Maxwells equations. 8. The Stokes problem. 9 Elasticity and plates -- 10 Other linear and nonlinear mimetic schemes -- 11 Analysis of parameters and maximum principles -- 12 Diffusion problem on generalized polyhedral meshes This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for those scientists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examples are provided to help the reader to understand and implement this method. This monograph also provides the essential background material and describes basic mathematical tools required to develop further the mimetic discretization technology and to extend it to various applications HTTP:URL=https://doi.org/10.1007/978-3-319-02663-3

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