Shape Optimization and Trial Methods for Free Boundary Problems Shape Optimization and Trial Methods for Free Boundary Problems
نویسنده
چکیده
In this work we consider diierent 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 innuence the conditioning of the shape cost functional and to nd a formulation which leads to optimally conditioned shape hessian at the solution. We also analyze and compare some xed point type methods inspired by the shape optimization problems.
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تاریخ انتشار 1996