A Type of Finite Element Gradient Recovery Method Based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property
Year: 2011
East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 3 : pp. 248–263
Abstract
In this paper, a new type of gradient recovery method based on vertex-edge-face interpolation is introduced and analyzed. This method gives a new way to recover gradient approximations and has the same simplicity, efficiency, and superconvergence properties as those of superconvergence patch recovery method and polynomial preserving recovery method. Here, we introduce the recovery technique and analyze its superconvergence properties. We also show a simple application in the a posteriori error estimates. Some numerical examples illustrate the effectiveness of this recovery method.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.251210.250411a
East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 3 : pp. 248–263
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Finite element method least-squares fitting vertex-edge-face interpolation superconvergence a posteriori error estimate.