A gradient recovery method based on an oblique projection for the virtual element method

Title: A gradient recovery method based on an oblique projection for the virtual element method
Creator: Kalyanaraman, Balaje; Lamichhane, Bishnu P.; Meylan, Michael H.
Relation: The ANZIAM Journal Vol. 60, p. C201-C214
Publisher Link: http://dx.doi.org/10.21914/anziamj.v60i0.14041
Publisher: Cambridge University Press
Resource Type: journal article
Date: 2018
Description: The virtual element method is an extension of the finite element method on polygonal meshes. The virtual element basis functions are generally unknown inside an element and suitable projections of the basis functions onto polynomial spaces are used to construct the elemental stiffness and mass matrices. We present a gradient recovery method based on an oblique projection, where the gradient of the L²-polynomial projection of a solution is projected onto a virtual element space. This results in a computationally efficient numerical method. We present numerical results computing the gradients on different polygonal meshes to demonstrate the flexibility of the method.
Subject: gradient recovery; virtual element method; oblique projection; proceedings
Identifier: http://hdl.handle.net/1959.13/1475486
Identifier: uon:49568
Identifier: ISSN:1446-1811
Language: eng
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