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Free and Moving Boundary Value Problems
| Speaker: |
Ali Etaati
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| Date: |
Wednesday May 14, 2008 |
| Title: |
A one-phase
solidification problem: FEM approach via parabolic variational
inequalities
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Abstract
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In this talk a moving-boundary
problem (the so called “One-phase Stefan Solidification problem”),
which can be described mathematically by means of a variational
inequality of parabolic type, will be considered. If a stationary
liquid is initially at its freezing temperature and heat is then
conducted out of the liquid, the resulting solidification process may
be formulated as a one-phase Stefan problem. Finite element
approximation will be then constructed to discretise the
complementarity system derived for the problem. The stability of the
numerical method will finally be explained.
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