Adaptive radial basis function methods for time dependent partial differential equations

By Scott A. Sarra. 2005

205 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/253fd1b73aae474d81e1a81f9cc3da3b5e0403a4

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. A. Michler
2. Siraj-ul-Islam
3. Jack G. Zhang
4. Gregory E. Fasshauer
5. Bozidar Sarler
6. Guangming Yao

In Electrical and Electronic Engineering

1. A. Michler
2. Siraj-ul-Islam
3. Jack G. Zhang
4. Gregory E. Fasshauer
5. Bozidar Sarler
6. Guangming Yao

In Mechanics of Materials

1. Siraj-ul-Islam
2. Guangming Yao
3. Bozidar Sarler
4. A. Michler
5. Jack G. Zhang
6. Gregory E. Fasshauer
7. Wen Chen
8. Yan Gu

Citations in the corpus

• Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions (2012, background): “As shown in [31], when the shape of the basis functions matches the shape/feature of the PDE solution, a small number of basis functions”
• On choosing “optimal” shape parameters for RBF approximation (2007, background): “This slightly dierent view of RBF collocation has been adopted recently by a number of authors (see, e.g., [6,7,26, 28 ]).”
• Aircraft control surface deflection using RBF‐based mesh deformation (2011, background): “According to [28], RBFs have the potential as a universal grid-free method, as they allow for arbitrary scattered data, and generalize easily to several space dimensions.”