Solving the inverse Stefan design problem using genetic algorithms

DOI10.1080/17415970801925170zbMath1154.65073OpenAlexW2158900611MaRDI QIDQ5900471

Damian Słota

Publication date: 25 November 2008

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970801925170

zbMATH Keywords

algorithmstabilitynumerical examplessolidificationTikhonov regularizationgenetic algorithminverse Stefan problemalternating phase truncation method

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (10)

Deep learning of free boundary and Stefan problems ⋮ Solution of the inverse problem in solidification of binary alloy by applying the ACO algorithm ⋮ A meshless method for an inverse two-phase one-dimensional linear Stefan problem ⋮ Multi-fidelity Bayesian optimization to solve the inverse Stefan problem ⋮ A method of fundamental solutions for the one-dimensional inverse Stefan problem ⋮ Application of meshfree methods for solving the inverse one-dimensional Stefan problem ⋮ A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem ⋮ Using the swarm intelligence algorithms in solution of the two-dimensional inverse Stefan problem ⋮ Restoration of the cooling conditions in a three-dimensional continuous casting process using artificial intelligence algorithms ⋮ Numerical approximation of the one-dimensional inverse Cauchy–Stefan problem using a method of fundamental solutions

Uses Software

• Genocop

Cites Work

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• Control of the freezing interface morphology in solidification processes in the presence of natural convection
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