@Article{IJNAM-1-2, author = {}, title = {A Level Set Method for Solving Free Boundary Problems Associated with Obstacles}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2004}, volume = {1}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/2004-IJNAM-972}, url = {https://global-sci.com/article/83899/a-level-set-method-for-solving-free-boundary-problems-associated-with-obstacles} }