Superconvergence of a Galerkin FEM for Higher-Order Elements in Convection-Diffusion Problems
نویسندگان
چکیده
منابع مشابه
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 alternating fluxes are used. The proof is valid for arbitrary nonuniform regular meshes and for p...
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ژورنال
عنوان ژورنال: Numerical Mathematics: Theory, Methods and Applications
سال: 2014
ISSN: 1004-8979,2079-7338
DOI: 10.4208/nmtma.2014.1320nm