Applied Nonlinear Functionalanalysis
Variational Methods and Ill-Posed Problems
Published on 31. December 1982
Book
Paperback/Softback
337 pages
978-3-8204-7297-4 (ISBN)
Description
This conference proceedings reflects the aim of a workshop on «Applied Functionalanalysis: Variational Methods and Ill-Posed Problems», held at the Free University Berlin in 1981. The objective was to develop mathematical models for various physical processes such as solidification problems, identifications in chemical reactions and to discuss certain control aspects in this context. Modern mathematical analysis was presented to prove existence, uniqueness and stability results as well as to develop numerical algorithms for actual computations. This conference proceedings demonstrates the high standard of modern mathematics in describing difficult behaviours of certain physical systems.
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Content
Contents: The articles on free boundary problems cover classical as well as variational methods. Models of melting and solidification processes are presented including new concepts of mushy regions and other refinements such as convection and degenerations. Nonstandard optimal control problems were considered and numerical algorithms via discretisation proposed. Convergence rates in approximation schemes for identification procedures are proved.