Prediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshes

By X. An, L. X. Li, Guowei Ma, Huihua Zhang. 2011

101 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ac3fa0ea7386acf320c51feb932e43387350e5f6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Hong Zheng
2. Dongdong Xu
3. Zhiye Zhao
4. Huihua Zhang
5. Feng Liu
6. Chunguang Li
7. Lei He
8. X. An

In Mechanics of Materials

1. Hong Zheng
2. Feng Liu
3. Chunguang Li
4. Huihua Zhang
5. Dongdong Xu
6. Lei He
7. Zhiye Zhao
8. X. An

Citations in the corpus

• Modeling bimaterial interface cracks using the numerical manifold method (2013, background): “A detailed examination of the linear dependence problem of PUFEMs can be found in [31,32].”
• New strategies for some issues of numerical manifold method in simulation of crack propagation (2014, methodology): “[7] proposed an algorithm for predicting the rank deficiency of the stiffness matrix.”
• The MLS-based numerical manifold method with applications to crack analysis (2014, methodology): “Using the topological information inherent in the finite element mesh, An et al. (2011) proposed an algorithm for predicting the rank deficiency of the stiffness matrix.”