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Zbl 0864.76089
Frankel, J.I.
Constraining inverse Stefan design problems. (English)
[J] Z. Angew. Math. Phys. 47, No.3, 456-466 (1996). ISSN 0044-2275; ISSN 1420-9039/e

A new formulation possessing stable numerical characteristics is presented for inverse Stefan design processes. In such processes, the goal is to design transient boundary conditions which produce the desired interfacial surface motion. This subclass of mildly ill-posed mathematical problems is amenable to the proposed solution methodology. This investigation presents a fixed-front differential formulation from which a weighted residual statement is developed. Orthogonal collocation is used to obtain numerical results illustrating the merit of imposing physical constraints in the mathematical model.

MSC 2000:: *76T99 None of the above, but in this section
80A22 Stefan problems, etc.
35R30 Inverse problems for PDE

Keywords: symbolic manipulation; orthogonal collocation; transient boundary conditions; interfacial surface motion; fixed-front differential formulation; weighted residual statement

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