The mimetic finite difference method for elliptic problems [electronic resource] / Lourenço Beirão da Veiga ; Konstantin Lipnikov ; Gianmarco Manzini.

The mimetic finite difference method for elliptic problems [electronic resource] / Lourenço Beirão da Veiga ; Konstantin Lipnikov ; Gianmarco Manzini.

9783319026633 electronic book
3319026631 electronic book
9783319026626
3319026623

Cham : Springer, 2014.

English

1 online resource (xvi, 392 pages) : illustrations.

QA374 .B45 2014eb

510
SK 580

515.353

Best.-Nr.: 86305131

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.

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Description based on print version record.

MSetA ; 11.

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