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Edge-based nonlinear diffusion for finite element approximations of convection–diffusion equations and its relation to algebraic flux-correction schemes

For the case of approximation of convection–diffusion equations using piecewise affine continuous finite elements a new edge-based nonlinear diffusion operator is proposed that makes the scheme satisfy a discrete maximum principle. The diffusion operator is shown to be Lipschitz continuous and linea...

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Detalles Bibliográficos
Autores principales: Barrenechea, Gabriel R., Burman, Erik, Karakatsani, Fotini
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5445553/
https://www.ncbi.nlm.nih.gov/pubmed/28615743
http://dx.doi.org/10.1007/s00211-016-0808-z