Surface temperature determination from Borehole measurements: Regularization and error estimates

Autor: Tran Thi Le, Milagros Navarro
Jazyk: angličtina
Rok vydání: 1995
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 18, Iss 3, Pp 601-605 (1995)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171295000755
Popis: The authors consider the problem of determining the temperature distribution u(x,t) on the half-line x=0, t>0, from measurements at an interior point, for all t>0. As is well-known, this is an ill-posed problem Using the Tikhonov method, the authors give a regularized solution, and assuming the (unknown) exact solution is in Hα(ℝ), α>0. They give an error estimate of the order 1/(1n1/ ϵ )α for ϵ →0, where ϵ >0 is a bound on the measurement error.
Databáze: Directory of Open Access Journals
Externí odkaz: