Output details
15 - General Engineering
Aston University
A method of fundamental solutions for the one-dimensional inverse Stefan problem
Inverse Stefan problems are of great interest in casting and welding, but in contrast to direct Stefan problems they are unstable. Jointly with an EPSRC-funded student, the method of fundamental solutions was applied to inverse Stefan problems, to reconstruct data and generate a specific profile of the free surface. The results were presented at the British Applied Mathematics Colloquium 2011. The method shows great potential and can be employed to other unstable free surface problems; negotiations for funded collaboration with Prof. Schulkes, StatoilHydro:Norway, are on-going. The method is used to find a boundary impedance and for metal solidification.