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Abstract: In this work we consider different formulations for a free boundary problem and analyze the related numerical methods. In particular, we formulate various shape optimization problems that are weak forms of a free boundary problem and analyze their properties using the tools of 'shape calculus'. The main result is that it is possible to influence the conditioning of the shape cost functional and to find a formulation which leads to optimally conditioned shape hessian at the solution. (Update)
Context of citations to this paper: More
...of 2 [7] In [12] a 2 rank formula for K 2 (O F ) was given by Tate. Some results on the 4 rank of K 2 (O F ) were given in [9] 10] and [13]. To gain further insight on the 4 rank of K 2 (O F ) we consider the following speci c families of elds. In this paper we deal...
...entirely different techniques, Woodin has shown that A Delta is a mouse set for Delta = Delta 1 (J (R) for all limit ordinals . See [St4]. Woodin s proof shows only that there exists some mouse M such that A Delta = R M. The mouse M is not described in terms of the large...
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BibTeX entry: (Update)
Martin-L of, P. A theory of types. Technical Report 71--3, Department of Mathematics, University of Stockholm, 1971. http://citeseer.ist.psu.edu/article/of96department.html More
@misc{ of71department,
author = "M. of and P. of and t Report",
title = "Department of Mathematics",
text = "Martin-L of, P. A theory of types. Technical Report 71--3, Department of
Mathematics, University of Stockholm, 1971.",
year = "1971",
url = "citeseer.ist.psu.edu/article/of96department.html" }
Citations (may not include all citations):12 Existence and regularity for a minimum problem with free bou.. (context) - Alt, Cafarelli - 1981
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