Recent Advances in Radial Basis Function Collocation Methods

By Wen Chen, Chingshyang Chen, Zhuojia Fu. 2013

307 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f3fb8b3173a8afa20f2cbc3749b7c4ba9b500665

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. Zhiping Mao
3. G. Em Karniadakis
4. Bengt Fornberg
5. Guofei Pang
6. Mark Ainsworth
7. Fangying Song
8. Satya N. Atluri

In Mechanical Engineering

1. Zhiping Mao
2. Syed Abdul Mohiuddine
3. Abdullah Alotaibi
4. G. Em Karniadakis
5. Satya N. Atluri
6. Leiting Dong
7. Mark Ainsworth
8. Fangying Song

In Mechanics of Materials

1. Natasha Flyer
2. Leiting Dong
3. Syed Abdul Mohiuddine
4. Abdullah Alotaibi
5. Bengt Fornberg
6. Satya N. Atluri
7. Mark Ainsworth
8. G. Em Karniadakis

Citations in the corpus

• Solving PDEs with radial basis functions * (2015, background): “Like [17], the brief monograph [10] from 2014 discussed certain RBF approaches for solving PDEs.”
• Computational Methods in Engineering: A Variety ofPrimal & Mixed Methods, with Global & LocalInterpolations, for Well-Posed or Ill-Posed BCs (2014, background): “One may refer to [Chen, Fu, and Chen (2013)] for a comprehensive review of various Radial Basis Functions.”
• What is the fractional Laplacian? A comparative review with new results (2018, methodology): “It is straightforward to consider other RBFs [106], but here we restrict our attention to the multiquadric RBF.”