TY - JOUR
T1 - A Dynamical Method for Solving the Obstacle Problem
AU - Ran , Qinghua
AU - Cheng , Xiaoliang
AU - Abide , Stéphane
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 353
EP - 371
PY - 2020
DA - 2020/03
SN - 13
DO - http://doi.org/10.4208/nmtma.OA-2019-0109
UR - https://global-sci.org/intro/article_detail/nmtma/15462.html
KW - Variational inequality, obstacle problem, dynamical system, dynamical functional partical method.
AB - <p style="text-align: justify;">In this paper, we consider the unilateral obstacle problem, trying to find the numerical solution and coincidence set. We construct an equivalent format of the original problem and&nbsp; propose a method with a second-order in time dissipative system for solving the equivalent format. Several numerical examples are given to illustrate the effectiveness and stability of the proposed algorithm. Convergence speed comparisons with existent numerical algorithm are also provided and our algorithm is fast.</p>