The Mimetic Finite Difference Method for Elliptic Problems by Lourenco Beirao Da Veiga

The Mimetic Finite Difference Method for Elliptic Problems by Lourenco Beirao Da Veiga

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.

From the book reviews:

“This book of about 400 pages is clear and relatively easy to readIt shows the capabilities and the efficiency of the mimetic finite difference method in the resolution of the usual partial differential equations, from their strong formulation. Many theoretical and practical aspects are addressed in detail. It is therefore highly recommended for anyone who wants to learn and use this method.” (Arnaud Münch, Mathematical Reviews, October, 2014)

“The research monograph is a useful source for scientists and engineers interested in computational treatment for various mathematical models arising in real life. It also proves to be a valuable research monograph for graduate students in Applied Mathematics or Computational Physics.” (Marius Ghergu, zbMATH, Vol. 1286, 2014)

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.

SKU	Unavailable
ISBN 13	9783319026626
ISBN 10	3319026623
Title	The Mimetic Finite Difference Method for Elliptic Problems
Author	Lourenco Beirao Da Veiga
Series	Ms And A
Condition	Unavailable
Binding Type	Hardback
Publisher	Springer International Publishing AG
Year published	2013-12-17
Number of pages	394
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.