A Meshing Strategy for a Quadratic Iso-parametric FEM in Cavitation Computation in Nonlinear Elasticity
Numerical Analysis
2017-01-06 v1
Abstract
The approximation properties of a quadratic iso-parametric finite element method for a typical cavitation problem in nonlinear elasticity are analyzed. More precisely, (1) the finite element interpolation errors are established in terms of the mesh parameters; (2) a mesh distribution strategy based on an error equi-distribution principle is given; (3) the convergence of finite element cavity solutions is proved. Numerical experiments show that, in fact, the optimal convergence rate can be achieved by the numerical cavity solutions.
Keywords
Cite
@article{arxiv.1701.01233,
title = {A Meshing Strategy for a Quadratic Iso-parametric FEM in Cavitation Computation in Nonlinear Elasticity},
author = {Chunmei Su and Zhiping Li},
journal= {arXiv preprint arXiv:1701.01233},
year = {2017}
}
Comments
31 pages, 10 figures