Osculatory interpolation in the method of fundamental solution for nonlinear Poisson problems

By K. Balakrishnan, Palghat A. Ramachandran. 2001

69 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/3e4d92dba5c719ba9b9a51f7468a67c7be973c4c

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. Guirong Liu
2. Khin Yong Lam
3. Trung Nguyen-Thoi
4. Hung Nguyen-Xuan
5. Kang Tai
6. Graeme Fairweather
7. Xinggao Liu
8. Andreas Karageorghis

In Mechanics of Materials

1. Guirong Liu
2. Khin Yong Lam
3. Trung Nguyen-Thoi
4. Hung Nguyen-Xuan
5. Andreas Karageorghis
6. Ashley L. Meyer
7. T. Drombosky
8. Guiyong Zhang

In Modeling and Simulation

1. Kang Tai
2. Graeme Fairweather
3. Xinggao Liu
4. Andreas Karageorghis
5. Paul A. Martin
6. Khin Yong Lam
7. Guirong Liu

Citations in the corpus

• The method of fundamental solutions for scattering and radiation problems (2003, methodology): “The MFS combined with radial basis functions has also been used recently for the solution of linear [40] and nonlinear [41,42] Poisson problems, and for Stokes flow [43].”
• Radial point interpolation collocation method (RPICM) for partial differential equations (2005, methodology): “I N T R O D U C T I O N In recent years, there has been great interest to improve meshfree methods based on radial basis functions (RBF) in the field of computational mathematics and mechanics [1-8].”
• Applicability of the method of fundamental solutions (2009, background): “…for solving various partial differential equations (PDEs) of practical importance; for example, Poisson equations [13], nonlinear Poisson problems [2], nonlinear thermal explosions [5], diffusion-convection equations [26], acoustic scattering [21], elastic waves [22] and inverse problems [15,31].”