Multilevel Finite Element Approximation
Theory and Applications
(Sprache: Englisch)
These notes reflect, to a great part, the present research interests of the author but were influenced by the ideas and the work of many colleagues. They are based on lectures given by the author at the Institutes of Mathematics and Informatics at the...
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Klappentext zu „Multilevel Finite Element Approximation “
These notes reflect, to a great part, the present research interests of the author but were influenced by the ideas and the work of many colleagues. They are based on lectures given by the author at the Institutes of Mathematics and Informatics at the Technical U niversity of Munich during February /March 1993. I wish to warmly thank ehr. Zenger and R. Hoppe for their generous support and the many discussions I had with them and their younger colleagues during the last year. Part of the results contained in section 4 is the output of these discussions and joint work with M. Griebel. There are many other mathematicians who encouraged me (or personally or by their mathematical work) to step into the field of multilevel methods. I want to acknowledge the support I received from W. Dahmen, R. A. DeVore, P. Deufl hard, W. Hackbusch, H. Trieb el , O. Widlund, H. Yserentant and many others. On the other hand, I should apologize for not mentioning many interesting re search results and names standing for recent developments in the fields which are the subject of these notes. Finally, I want to thank my family, my wife Olga and my daughters Evelyn and Annelie, for their everyday patience and support.
Inhaltsverzeichnis zu „Multilevel Finite Element Approximation “
The efficient and robust solution of large linear systems of equations arising from discretization of partial differential equations on modern computer systems requires new ideas and mathematical approaches.Summary of contents:
Finite elements - Splines - Wavelets - Multiresolution - Approximation and Sobolev-Besov spaces - Stable finite element decompositions - Abstract Schwarz methods - Multilevel preconditioners - Adaptivity - Nonlinear approximation methods
Bibliographische Angaben
- Autor: Peter Oswald
- 1994, 160 Seiten, Maße: 17 x 24,4 cm, Kartoniert (TB), Englisch
- Verlag: Vieweg+Teubner
- ISBN-10: 3519027194
- ISBN-13: 9783519027195
Sprache:
Englisch
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