N%-Superconvergence of Finite Element Approximations in the Interior of General Meshes of Triangles
MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY
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In this paper we introduce a new definition of super convergence - the n-superconvergence, which generalizes the classical idea of superconvergence to general meshes. We show that this new definition can be employed to determine the regions of least error in any element in the interior of any grid by using a computer-based approach. We present numerical results for the standard displacement finite element method for the scalar equation of orthotropic heat- conduction. The results demonstrate that n superconvergence is applicable to the complex grids which are employed in practical engineering computations.
- Numerical Mathematics