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In this paper, a boundary data completion problem for a diffusionreaction partial differential equations (PDEs) was considered in a 2D domain. In a first step, the classical KMF (Kozlov, Maz’ya, Fomin) algorithm was used with spectral element method to find an approximate solution to that problem. In a second step, an alternative way was proposed
by using conjugate gradient method where a symmetric positive definite
operator was designed. Obtained results are illustrated by some numerical
tests by using Matlab software.
Miled EL HAJJI, Fadhel JDAY. (2019) Boundary data completion for a diffusion-reaction equation by minimizing the energy error functional and applying the conjugate gradient method, , Volume 51, Issue 10.
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