Affiliation:
1. Department of Civil and Environmental Engineering, University of California, Davis, CA 95616, USA
Abstract
In this paper, a conforming polygonal finite element method is applied to problems in linear elasticity. Meshfree natural neighbor (Laplace) shape functions are used to construct conforming interpolating functions on any convex polygon. This provides greater flexibility to solve partial differential equations on complicated geometries. Closed-form expressions for Laplace shape functions on pentagonal, hexagonal, heptagonal, and octagonal reference elements are derived. Numerical examples are presented to demonstrate the accuracy of the method in two-dimensional elastostatics.
Publisher
World Scientific Pub Co Pte Lt
Subject
Computational Mathematics,Computer Science (miscellaneous)
Cited by
67 articles.
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