Mapped finite element methods: High-order approximations of problems on domains with cracks and corners

Author:

Chiaramonte Maurizio M.12ORCID,Shen Yongxing3ORCID,Lew Adrian J.2

Affiliation:

1. Department of Civil and Environmental Engineering; Princeton University; Princeton NJ 08544 USA

2. Department of Mechanical Engineering; Stanford University; Stanford CA 94305 USA

3. State Key Laboratory of Metal Matrix Composites; University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University; Shanghai 200240 China

Funder

National Natural Science Foundation of China

Young 1000 Talent Program of China (Y.S.) National Science Foundation

Army Research Grant

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference42 articles.

1. On the use of singular functions with finite element approximations;Fix;Journal of Computational Physics,1973

2. Elastic crack growth in finite elements with minimal remeshing;Belytschko;International Journal for Numerical Methods in Engineering,1999

3. A finite element method for crack growth without remeshing;Moës;International Journal for Numerical Methods in Engineering,1999

4. The partition of unity finite element method: Basic theory and applications;Melenk;Computer Methods in Applied Mechanics and Engineering,1996

5. An h-p adaptive method using clouds;Duarte;Computer Methods in Applied Mechanics and Engineering,1996

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