Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 33, Issue 1, Pages 342-363Publisher
SIAM PUBLICATIONS
DOI: 10.1137/100783327
Keywords
Stefan problem; optimal control; level set method; optimality conditions
Categories
Funding
- Austrian Science Fund FWF [P19918-N14]
- Austrian Science Fund (FWF) [P19918] Funding Source: Austrian Science Fund (FWF)
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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.
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