The method of fundamental solutions for scattering and radiation problems

By Graeme Fairweather, Andreas Karageorghis, Paul A. Martin. 2003

313 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cb1b30031f7d19c606317ab47bfb54e336b5df30

How researchers see this paper

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

In Atomic and Molecular Physics, and Optics

1. Wen Chen
2. Zhuojia Fu
3. Jinyang Zhang
4. Carlos J. S. Alves
5. Andreas Karageorghis

In Electrical and Electronic Engineering

1. Wen Chen
2. Zhuojia Fu
3. Jinyang Zhang
4. Andreas Karageorghis

In Mathematical Physics

1. Wen Chen
2. Zhuojia Fu
3. Jinyang Zhang
4. Andreas Karageorghis

Citations in the corpus

• A meshless method for some inverse problems associated with the Helmholtz equation (2006, unknown): “[18–20].”
• On the choice of source points in the method of fundamental solutions (2009, background): “A good account of the early developments of the MFS can still be found in the review paper by Fairweather and Karageorghis [20] (see also [21], for scattering problems).”
• Singular boundary method for modified Helmholtz equations (2014, methodology): “Despite great efforts for decades, determining the optimal placement is still an open issue, one may find some related techniques in the literatures [9–13].”
• A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions (2009, methodology): “In the MFS [7, 8, 12], the solution u is approximated by”