Nonlinear diffusion problem with dynamical boundary value

• Autores: Vladimír Vrábel�, Marián Slodièka
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 246, Nº 1, 2013, págs. 94-103
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.11.006
• Texto completo no disponible (Saber más ...)
• Resumen

  • A nonlinear degenerate convection�diffusion initial boundary value problem is studied in a bounded domain. A dynamical boundary condition (containing the time derivative of a solution) is prescribed on the one part of the boundary. This models a non-perfect contact on the boundary. The existence and uniqueness of a weak solution in corresponding function spaces is proved using the backward Euler method for the time discretization.

    Error estimates for time-discrete approximations are derived.