SINC APPROXIMATION OF THE HEAT FLUX ON THE BOUNDARY OF A TWO-DIMENSIONAL FINITE SLAB

Pham Hoang Quan (1) , Dang Duc Trong (1) , Alain Pham Ngoc Dinh (2)

1 UNS-HCMC - University of Natural Sciences HoChiMinh City
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We consider the two-dimensional problem of recovering globally in time the heat flux on the surface of a layer inside of a heat conducting body from two interior temperature measurements. The problem is ill-posed. The approximation function is represented by a two-dimensional Sinc series and the error estimate is given.

Mots clés: heat equation; heat flux; Sinc series; ill-posed problem; regularization; numerical results

Domaines: Equations aux dérivées partielles [math.AP]

Pham Hoang Quan, Dang Duc Trong, Alain Pham Ngoc Dinh. SINC APPROXIMATION OF THE HEAT FLUX ON THE BOUNDARY OF A TWO-DIMENSIONAL FINITE SLAB. Numerical Functional Analysis and Optimization, 2006, 27 (5-6), pp.685-695. ⟨hal-00008986⟩