The adjoint method for an inverse design problem in the directional solidification of binary alloys

DOI10.1006/jcph.1998.5893zbMath0926.65097OpenAlexW2037920517MaRDI QIDQ1286096

George Z. Yang, Nicholas Zabaras

Publication date: 30 November 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fcb860a01a02fb2d8ba17d622042cc55bfa470bc

zbMATH Keywords

conjugate gradient algorithmadjoint methodbinary alloysinterface stabilitydirectional solidificationinverse design probleminverse thermo-solutal convection problem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items

Parallel genetic algorithms for the solution of inverse heat conduction problems ⋮ High resolution sharp computational methods for elliptic and parabolic problems in complex geometries ⋮ Inverse design of directional solidification processes in the presence of a strong external magnetic field ⋮ Adjoint-based optimization of PDEs in moving domains ⋮ A functional optimization approach to an inverse magneto-convection problem. ⋮ Numerical study of convection in the directional solidification of a binary alloy driven by the combined action of buoyancy, surface tension, and electromagnetic forces ⋮ Conjugate problems in convective heat transfer: review ⋮ On the problem of control the composition of material in the binary alloy solidification process

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