Mixed finite element methods for a class of nonlinear reaction diffusion problems
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Universidad de Salamanca
info
ISSN: 1061-5369
Año de publicación: 2002
Volumen: 10
Número: 1
Páginas: 91–112
Tipo: Artículo
Otras publicaciones en: Neural, Parallel & Scientific Computations
Resumen
A mixed finite element approximation is presented for a class of non-linear reaction diffusion problems with a wide applicability. Some results about the existence and uniqueness of weak solutions are resumed. Semidiscrete error estimates are established assuming only Lipschitz regularity of the reactive term and nondecreasing of the diffusive term and demostrated with a new technique. The proofs of this error estimates are described in detail, first in the dual norm, and then in the L2-norm. As an application, a model for numerically simulating wildland fires is presented.