Abstract
AbstractThis paper presents a stabilization scheme for the discrete gradient method proposed by the authors (Int. J. Numer. Methods Eng. 2009; 78:505–527). The discrete method is an extension of the nodal average strain triangle element to arbitrary polygon meshes. The method outperforms the low‐order finite elements in many aspects; however, it is susceptible to spurious zero‐energy or low‐energy modes arising from cancelation of strains during strain averaging. In this paper, stabilization is achieved by a penalty scheme that penalizes the difference between the nodal strain and the subcell strains. Several examples, including an analytical dispersion analysis, are presented to demonstrate the stabilization effect. Copyright © 2009 John Wiley & Sons, Ltd.
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