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The Cauchy problem for the steady-state convection-diffusion equation using a regularised DRBEM

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în volumul unei conferinţe

Autori: A. Rap, L. Elliott, D.B. Ingham, D. Lesnic, X. Wen

Editorial: Sia Amini, Salford University, Fourth UK Conference on Boundary Integral Methods, p.1-10, 2003.

Rezumat:

In this paper we develop a numerical technique based on the Dual Reciprocity Boundary Element Method (DRBEM) combined with the Tikhonov regularisation method in order to solve the Cauchy problem associated to the steady-state convection-diffusion equation with variable coefficients. The choice of the regularisation parameter is based on the discrepancy principle method.

Cuvinte cheie: Cauchy problem, Dual Reciprocity Boundary Element Method, Convection-diffusion equation, Tikhonov regularisation