Optimal control of the classical two-phase Stefan problem in level set formulation
MK Bernauer, R Herzog - SIAM Journal on Scientific Computing, 2011 - SIAM
MK Bernauer, R Herzog
SIAM Journal on Scientific Computing, 2011•SIAMOptimal control (motion planning) of the free interface in classical two-phase Stefan
problems is considered. The evolution of the free interface is modeled by a level set function.
The first-order optimality system is derived on a formal basis. It provides gradient information
based on the adjoint temperature and adjoint level set function. Suitable discretization
schemes for the forward and adjoint systems are described. Numerical examples verify the
correctness and flexibility of the proposed scheme.
problems is considered. The evolution of the free interface is modeled by a level set function.
The first-order optimality system is derived on a formal basis. It provides gradient information
based on the adjoint temperature and adjoint level set function. Suitable discretization
schemes for the forward and adjoint systems are described. Numerical examples verify the
correctness and flexibility of the proposed scheme.
Optimal control (motion planning) of the free interface in classical two-phase Stefan problems is considered. The evolution of the free interface is modeled by a level set function. The first-order optimality system is derived on a formal basis. It provides gradient information based on the adjoint temperature and adjoint level set function. Suitable discretization schemes for the forward and adjoint systems are described. Numerical examples verify the correctness and flexibility of the proposed scheme.
Society for Industrial and Applied Mathematics以上显示的是最相近的搜索结果。 查看全部搜索结果