On modifications of continuous and discrete maximum principles for reaction-diffusion problems

In this work, we present and discuss some modifications, in the form of two-sided estimation (and also for arbitrary source functions instead of usual sign-conditions), of continuous and discrete maximum principles for the reactiondiffusion problems solved by the finite element and finite difference...

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Detalhes bibliográficos
Autores: Faragó, I., Korotov, S., Szabó, T.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:España
Recursos:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/629
Acesso em linha:http://hdl.handle.net/20.500.11824/629
Access Level:acceso abierto
Palavra-chave:Code validification
Discrete maximum principle
Maximum principle
Monotone matrix
Reaction-diffusion problem
Two-sided a priori estimation
Descrição
Resumo:In this work, we present and discuss some modifications, in the form of two-sided estimation (and also for arbitrary source functions instead of usual sign-conditions), of continuous and discrete maximum principles for the reactiondiffusion problems solved by the finite element and finite difference methods.