Display Abstract
Title Numerical experiments of Allen-Cahn equation with constraints via Lagrange multiplier
Name Noriaki Yamazaki
Country Japan
Email noriaki@kanagawa-u.ac.jp
Co-Author(s) M. H. Farshbaf-Shaker and T. Fukao
Submit Time 2014-02-23 20:33:54
Session
Special Session 27: Mathematical problems in economics, materials and life science: Analysis and simulation of nonlinear multiscale dynamics
Contents
Let us consider Allen-Cahn equation with constraints. Our constraint is the subdifferential of the indicator function on the closed interval, which is the multivalued function. Recently, we consider the singular limit of our equations. Then, we gave the characterization of the Lagrange multiplier to our equation. But, by our constraint, It is very difficult to consider our equation numericaly. So, in this talk, we gave numerical experiments of Allen-Cahn equation with constraints via Lagrange multiplier.
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