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Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems

In this paper, we discuss the superconvergence of the local discontinuous Galerkin methods for nonlinear convection-diffusion equations. We prove that the numerical solution is [Formula: see text] th-order superconvergent to a particular projection of the exact solution, when the upwind flux and the...

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Detalles Bibliográficos
Autores principales: Bi, Hui, Qian, Chengeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5602071/
https://www.ncbi.nlm.nih.gov/pubmed/28989254
http://dx.doi.org/10.1186/s13660-017-1489-6