@Article{IJNAM-1-157,
author = {K. Majava and X.-C. Tai},
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 = {<p style="text-align: justify;">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.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/972.html}
}