Determination of an unknown diffusion coefficient in a semilinear parabolic problem

• Autores: K. Van Bockstal, Marián Slodièka
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 246, Nº 1, 2013, págs. 104-112
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.05.019
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• Resumen

  • A semilinear parabolic problem of second order with an unknown diffusion coefficient in a subregion is considered. The missing data are compensated by a total flux condition through a given surface. The solvability of this problem is proved. A numerical algorithm based on Rothe�s method is designed and the convergence of approximations towards the solution is shown. The results of numerical experiments are discussed.