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GALERKIN AND RUNGE{KUTTA METHODS: UNIFIED FORMULATION, A POSTERIORI ERROR ESTIMATES AND NODAL SUPERCONVERGENCE
Continuous discontinuous Galerkin methods
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2015/12/11
We unify the formulation and analysis of Galerkin and Runge{Kutta
methods for the time discretization of parabolic equations. This, together with
the concept of reconstruction of the approximate sol...
Application for Superconvergence of Finite Element Approximations for the Elliptic Problem by Global and Local L2-Projection Methods
Finite Element Methods Superconvergence L2-Projection Elliptic Problem
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2013/1/30
Numerical experiments are given to verify the theoretical results for superconvergence of the elliptic problem by global and local L2-Projection methods.
An Anisotropic Nonconforming Finite Element with Some Superconvergence Results
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2007/12/12
The main aim of this paper is to study the error estimates of a nonconforming finite element with some superconvergence results under anisotropic meshes. The anisotropic interpolation error and consis...
A NODAL SUPERCONVERGENCE ARISING FROM COMBINATION OF LINEAR AND BILINEAR ELEMENTS
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2007/8/7
We introduce a finite element scheme which yields the O(h~4)-superconvergence at nodes when solving a second order elliptic problem. Finite element functions used are globally continuous and bilinear ...