A fast algorithm for particle simulations
Journal of Computational Physics
Rapid solution of integral equations of scattering theory in two dimensions
Journal of Computational Physics
Fast and Efficient Algorithms in Computational Electromagnetics
Fast and Efficient Algorithms in Computational Electromagnetics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Hi-index | 7.30 |
In this paper the reader is introduced to an algorithm that revolutionized the complexity of problems that could be handled in electromagnetics in the past decennium. The algorithm, called fast multipole method, has allowed the solution of problems with many millions of degrees of freedom with reasonable computer resources. The method is explained on different levels of abstraction. It is illustrated by means of a wire scattering problem that is applied for the exact simulation of a piece of metamaterial with a negative index of refraction. It is the first time that an exact numerical verification of the lens effect in a negative index metamaterial is performed.