One-phase inverse stefan problem with an unknown distributed convection coefficientGol’dmanN. L.DOKLADY MATHEMATICS C/C OF DOKLADY- AKADEMIIA NAUK
A one-phase inverse Stefan problem The moving solid/liquid interface of a melting solid in the one-dimensional case is identified from temperature and flux measurements performed solely on t... AE Badia,F Moutazaim - 《Inverse Problems》 被引量: 38发表: 1999年 Asymptotic convergence of the St...
one-dimensional one-phase inverse Stefan problemtwo-phase change caseWe extend the meshless method of fundamental solutions proposed in [B.T. Johansson, D. Lesnic, and T. Reeve, A method of fundamental solutions for the one-dimensional inverse Stefan problem, Appl. Math. Model. 35 (2011), ...
On the basis of the duality principle, we obtain sufficient conditions for the uniqueness of the solution in Holder classes for the considered inverse Stefan problems. We present examples in which the uniqueness property is lost when extending the set of admissible solutions....
One-phase inverse stefan problem with an unknown distributed convection coefficientDOKLADY MathematicStefan ProblemHeat Transfer CoefficientAdjoint ProblemConvection CoefficientNo Abstract available for this article.doi:10.1134/S1064562414060209N.L. Gol’dman...
Hetmaniok E., Słota D., Wituła R., Zielonka A.: Solution of the one-phase inverse Stefan problem by using the homotopy analysis method. Appl. Math. Modelling (in review).Edyta Hetmaniok, Damian Słota, Roman Wituła, Adam Zielonka, Solution of the one-phase inverse Stefan ...
We consider a one-dimensional one-phase inverse Stefan problem for the heat equation. It consists in recovering a boundary influx condition from the knowledge of the position of the moving front, and the initial state. We derived a logarithmic stability estimate that shows that the inversion is ...
Slota, D. (2010), "The application of the homotopy perturbation method to one-phase inverse Stefan problem", International Communications in Heat and Mass Transfer, Vol. 37, pp. 587-592.Słota D.: The application of the homotopy perturbation method to one-phase inverse Stefan problem. Int...
one‐phase linear inverse Stefan problemThe efficient numerical solution of the one‐phase linear inverse Stefan and Cauchy–Stefan problems is a delicate task owing to the problems' susceptibility to the perturbation of the given data. In this context, heuristic a posteriori error indicators are ...
L. Lorenzi, “An identification problem for a one-phase Stefan problem,” J. Inv. Ill-Posed Problems , 9 , No. 6, 1–27 (2001).Lorenzi, L (2001) An identification problem for a one-phase Stefan problem. J. Inverse Ill-Posed Probl. 9: p...