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1. Local ultraconvergence of finite element methods for second‐order elliptic problems with singularity.

Author

He, Wenming, Zhao, Ren, Li, Guanrong, and Li, Wulan

Subjects
*FINITE element method, *GREEN'S functions, *ELLIPTIC operators
Abstract

In this article, we will investigate the local ultraconvergence of the displacement and derivative of finite element solution using piecewise polynomials of degrees k (k ≥ 2) by Richardson extrapolation operators P1k and P2k presented in He et al. for second‐order elliptic problems with singularity. Numerical results are provided to illustrate the theoretic findings. [ABSTRACT FROM AUTHOR]

Published
2021
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