Items related to A Weighted Approach on Elliptic Equations with Singularities...

A Weighted Approach on Elliptic Equations with Singularities: A-priori Analysis and Numerical Methods - Softcover

Li, Hengguang

 
9783639106091: A Weighted Approach on Elliptic Equations with Singularities: A-priori Analysis and Numerical Methods
Softcover
ISBN 10: 3639106091 ISBN 13: 9783639106091
Publisher: VDM Verlag Dr. Müller, 2008

Synopsis

Elliptic equations in a two- or three-dimensional bounded domain may have singular solutions from the non-smoothness of the domain, changes of boundary conditions, and discontinuities, singularities of the coefficients. These singularities give rise to various difficulties in the theoretical analysis and in the development of numerical algorithms for these equations. On the other hand, most of the problems arising from physics, engineering, and other applications have singularities of this form. In addition, the study on these elliptic equations leads to good understandings of other types of PDEs and systems of PDEs. This research, therefore, is not only of theoretical interest, but also of practical importance. This book includes a-priori estimates (well-posedness, regularity, and Fredholm property) for these singular solutions of general elliptic equations in weighted Sobolev spaces, as well as effective finite element schemes and corresponding multigrid estimates. Graduate students and researchers will find it a very useful introductory reference.

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About the Author

Department of Mathematics, Syracuse University

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

Publisher
VDM Verlag Dr. Müller
Publication date
2008
Language
English
ISBN 10 
3639106091
ISBN 13 
9783639106091
Binding
Paperback
Number of pages
160