On using radial basis functions in a “finite difference mode” with applications to elasticity problems

By A. Tolstykh, D. A. Shirobokov. 2003

301 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/dd141309a01318509a26695cd8dd79f83f66c912

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. Natasha Flyer
2. Bengt Fornberg
3. Robert Schaback
4. Gregory E. Fasshauer
5. Jack G. Zhang
6. Victor Bayona
7. Gregory A. Barnett
8. Lloyd N. Trefethen

In Mechanics of Materials

1. Natasha Flyer
2. Bengt Fornberg
3. Robert Schaback
4. Gregory E. Fasshauer
5. Chi-Wang Shu
6. Jack G. Zhang
7. Alexander H. D. Cheng
8. Grady Barrett Wright

Citations in the corpus

• Gaussian RBF-FD weights and its corresponding local truncation errors (2012, unknown): “To overcome this drawback a local RBF method was independently proposed by several authors [15–17].”
• Solving PDEs with radial basis functions * (2015, background): “Active application areas not discussed here include elasticity [48, 80], flame propagation [2, 49], and mechanics [11, 67].”