Elliptic problems in nonsmooth domains / Pierre Grisvard.

Format:

Book

Author/Creator:

Grisvard, P. (Pierre)

Contributor:

Society for Industrial and Applied Mathematics.

Series:

Classics in applied mathematics ; 69.

Classics in applied mathematics ; 69

Language:

English

Subjects (All):

Boundary value problems--Numerical solutions.

Boundary value problems.

Differential equations, Elliptic--Numerical solutions.

Differential equations, Elliptic.

Physical Description:

1 electronic text (xx, 410 p.) : ill., digital file.

Edition:

SIAM ed.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2011.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

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.

Contents:

Foreword

Preface

Chapter 1. Sobolev spaces

Chapter 2. Regular second-order elliptic boundary value problems

Chapter 3. Second-order elliptic boundary value problems in convex domains

Chapter 4. Second-order boundary value problems in polygons

Chapter 5. More singular solutions

Chapter 6. Results in spaces of Hl̲der functions

Chapter 7. A model fourth-order problem

Chapter 8. Miscellaneous

Bibliography

Index.

Notes:

Originally published: Boston : Pitman Advanced Pub. Program, 1985.

Includes bibliographical references and index.

Title from title screen, viewed 08/25/2011.

ISBN:

1-61197-203-5

Publisher Number:

CL69 SIAM