Superconvergence of linear finite elements on simplicial meshes

In this dissertation work, we present a theoretical analysis for linear finite element gradient superconvergence on three-dimensional simplicial meshes where the lengthes of each pair of opposite edges in most tetrahedrons differ only by $O(h^{1+\alpha})$. We first derive a local error expansion for...

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Bibliographic Details
Main Author: Chen, Jie
Other Authors: Wang Desheng
Format: Theses and Dissertations
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/50615
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Institution: Nanyang Technological University
Language: English