Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519034 | Journal of Computational Physics | 2011 | 13 Pages |
In this paper, we describe a new class of fast solvers for separable elliptic partial differential equations in cylindrical coordinates (r, θ, z) with free-space radiation conditions. By combining integral equation methods in the radial variable r with Fourier methods in θ and z, we show that high-order accuracy can be achieved in both the governing potential and its derivatives. A weak singularity arises in the Fourier transform with respect to z that is handled with special purpose quadratures. We show how these solvers can be applied to the evaluation of the Coulomb collision operator in kinetic models of ionized gases.
► We describe new fast solvers for elliptic partial differential equations in free space. ► We combine integral equation methods with Fourier methods to achieve high order accuracy. ► We apply these solvers to the evaluation of the Coulomb collision operator in plasma physics.