The adjoint method for an inverse design problem in the directional solidification of binary alloys
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Publication:1286096
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
conjugate gradient algorithmadjoint methodbinary alloysinterface stabilitydirectional solidificationinverse design probleminverse thermo-solutal convection problem
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)
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Cites Work
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- A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
- A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems. I. Model formulation. II. Application to solidification in a rectangular cavity
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A functional optimization formulation and implementation of an inverse natural convection problem
- Analysis, approximation, and computation of a coupled solid/fluid temperature control problem
- A finite element model for double diffusive convection
- Mathematical and physical modelling of doublediffusive convection of aqueous solutions crystallizing at a vertical wall
- On the solution of an ill‐posed design solidification problem using minimization techniques in finite‐ and infinite‐dimensional function spaces
- Control of the freezing interface motion in two‐dimensional solidification processes using the adjoint method
- Control of the freezing interface morphology in solidification processes in the presence of natural convection
- Onset of oscillatory convection in two liquid layers with phase change
- Convex Programming and Duality in Normed Space
