Year: 2004
International Journal of Numerical Analysis and Modeling, Vol. 1 (2004), Iss. 2 : pp. 157–172
Abstract
A level set method is proposed for solving free boundary problems coming from contact with obstacles. Two different approaches are described and applied for solving a unilateral obstacle problem. The cost functionals coming from the new approach are nonsmooth. For solving the nonsmooth minimization problems, two methods are applied: firstly, a proximal bundle method, which is a method for solving general nonsmooth optimization problems. Secondly, a gradient method is proposed for solving the regularized problems. Numerical experiments are included to verify the convergence of the methods and the quality of the results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-IJNAM-972
International Journal of Numerical Analysis and Modeling, Vol. 1 (2004), Iss. 2 : pp. 157–172
Published online: 2004-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Level set methods free boundary problems obstacle problem.