A shape optimization method for moving interface problems governed by the heat equation

DOI10.1016/j.cam.2020.113266zbMath1473.80015OpenAlexW3096981157MaRDI QIDQ2226300

John Lujano, Johannes Tausch

Publication date: 12 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113266

zbMATH Keywords

heat equationintegral equationfree boundary problemphase transitionStefan problemshape optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Optimization of shapes other than minimal surfaces (49Q10) Numerical quadrature and cubature formulas (65D32) Optimization problems in thermodynamics and heat transfer (80M50) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) PDEs in connection with classical thermodynamics and heat transfer (35Q79) PDE constrained optimization (numerical aspects) (49M41)

Related Items (2)

Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023 ⋮ On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem

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