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Keywords
- Differenzenmethode
- Methode der finiten Elemente
- Randwertprobleme
- Stokes equation
- Stokes-Gleichung
- Variationsformulierung
- difference methods
- elliptic boundary value problems
- elliptische Randwertprobleme
- finite Elemente
- finite elements methods
- variational formulation
About this book
This book has developed from lectures that the author gave for mathematics students at the Ruhr-Universitat Bochum and the Christian-Albrechts-Uni versitat Kiel. This edition is the result of the translation and correction of the German edition entitled Theone und Numenk elliptischer Differential gleichungen. The present work is restricted to the theory of partial differential equa tions of elliptic type, which otherwise tends to be given a treatment which is either too superficial or too extensive. The following sketch shows what the problems are for elliptic differential equations. A: Theory of B: Discretisation: c: Numerical analysis elliptic Difference Methods, convergence, equations finite elements, etc. stability Elliptic Discrete boundary value equations f-------- ----- problems E:Theory of D: Equation solution: iteration Direct or with methods iteration methods The theory of elliptic differential equations (A) is concerned with ques tions of existence, uniqueness, and properties of solutions. The first problem of VI Foreword numerical treatment is the description of the discretisation procedures (B), which give finite-dimensional equations for approximations to the solu tions. The subsequent second part of the numerical treatment is numerical analysis (0) of the procedure in question. In particular it is necessary to find out if, and how fast, the approximation converges to the exact solution.
Authors and Affiliations
Bibliographic Information
Book Title: Elliptic Differential Equations
Book Subtitle: Theory and Numerical Treatment
Authors: Wolfgang Hackbusch
Series Title: Springer Series in Computational Mathematics
Publisher: Springer Berlin, Heidelberg
Copyright Information: Springer-Verlag Berlin Heidelberg 1992
Hardcover ISBN: 978-3-540-54822-5Published: 08 October 1992
Series ISSN: 0179-3632
Series E-ISSN: 2198-3712
Edition Number: 1
Number of Pages: XIV, 311