Elliptic Problems in Nonsmooth Domains (Classics in Applied Mathematics) - Softcover

Grisvard, Pierre

Softcover

ISBN 10: 1611972027 ISBN 13: 9781611972023

Publisher: Society for Industrial and Applied Mathematics, 2011

Synopsis

This classic text focuses on elliptic boundary value problems in domains with nonsmooth boundaries and on problems with mixed boundary conditions. Its contents are essential for an understanding of the behavior of numerical methods for partial differential equations (PDEs) on two-dimensional domains with corners. Elliptic Problems in Nonsmooth Domains provides a careful and self-contained development of Sobolev spaces on nonsmooth domains, develops a comprehensive theory for second-order elliptic boundary value problems and addresses fourth-order boundary value problems and numerical treatment of singularities. This book is intended for researchers and graduate students in computational science and numerical analysis who work with theoretical and numerical PDEs. Readers need only a background in functional analysis to find the material accessible.

About this title

About the Author

Pierre Grisvard (1940–1994) was Professor of Mathematics at the University of Nice, France, and Director of the Institute Henri Poincaré in Paris.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2011
• Language: English
• ISBN 10: 1611972027
• ISBN 13: 9781611972023
• Binding: Paperback
• Number of pages: 425