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Multilevel Finite Element Approximation - Theory and Applications (German, Paperback, 1994 ed.)
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Multilevel Finite Element Approximation - Theory and Applications (German, Paperback, 1994 ed.)
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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."
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