On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem

DOI10.1137/21M1411007zbMath1481.49042OpenAlexW3158399586MaRDI QIDQ5024049

Helmut Harbrecht, Rahel Brügger

Publication date: 28 January 2022

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1411007

zbMATH Keywords

heat equationmoving boundary problemStefan problemshape optimizationspace-time tube derivative

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Heat equation (35K05) Optimization of shapes other than minimal surfaces (49Q10)

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Cites Work

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