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The Cauchy Problem for the Steady-State Convection-Diffusion Equation using BEM

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

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

Editorial: R. Gallego, M.H. Aliabadi, Queen Mary University of London, Advances in Boundary Element Techniques IV, p.281-286, 2003.

Rezumat:

In this paper, a numerical technique based on the BEM combined with the Tikhonov regularisation method is developed in order to solve the Cauchy problem associated to the steady-state convection-diffusion equation. The governing convection-diffusion
equation is transformed into a Helmholtz or modified Helmholtz equation. The choice of the regularisation parameter is based on
the discrepancy principle method

Cuvinte cheie: Cauchy problem, Inverse problem, Convection-diffusion equation, Helmholtz equation, Boundary Element Method, Tikhonov regularisation, Discrepancy principle