The Mimetic Finite Difference Method for Elliptic Problems (MS&A, 11) - Hardcover

Book 10 of 19: MS&A

Beirao Da Veiga, Lourenco; Lipnikov, Konstantin; Manzini, Gianmarco

 
9783319026626: The Mimetic Finite Difference Method for Elliptic Problems (MS&A, 11)
Hardcover
ISBN 10: 3319026623 ISBN 13: 9783319026626
Publisher: Springer, 2013

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2013
Language
English
ISBN 10 
3319026623
ISBN 13 
9783319026626
Binding
Hardcover
Number of pages
410

Other Popular Editions of the Same Title

9783319379005: The Mimetic Finite Difference Method for Elliptic Problems (MS&A, 11)

Featured Edition

ISBN 10:  3319379003 ISBN 13:  9783319379005
Publisher: Springer, 2016
Softcover