Lourenco Beirao da Veiga, Konstantin Lipnikov, Gianmarco Manzini

Gebundenes Buch

The Mimetic Finite Difference Method for Elliptic Problems

Beschreibung

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.

Autor

The Authors are active researchers in the field of numerical discretizations of partial differential equations. Together and in collaboration with other researchers, they published more than one-hundred papers on ISI ranked journals. Therefore, their expertise spans the formal mathematical analysis of the mimetic discretization methods, the application of this theoretical framework to real scientific and engineering models formulated in the setting of elliptic problems, and the computational properties of the numerical schemes discussed in the book.

Produktdetails

• MS & A 10
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-02662-6
• 2014
• Seitenzahl: 412
• Erscheinungstermin: 17. Dezember 2013
• Englisch
• Abmessung: 241mm x 160mm x 28mm
• Gewicht: 774g
• ISBN-13: 9783319026626
• ISBN-10: 3319026623
• Artikelnr.: 39391393