Spectral integration and two-point boundary value problems
SIAM Journal on Numerical Analysis
A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems
SIAM Journal on Scientific Computing
The symmetric eigenvalue problem
The symmetric eigenvalue problem
A fast 3D Poisson solver of arbitrary order accuracy
Journal of Computational Physics
A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
Journal of the ACM (JACM)
A Fast Spectral Solver for a 3D Helmholtz Equation
SIAM Journal on Scientific Computing
Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998)
Efficient solution of the Schroedinger-Poisson equations in layered semiconductor devices
Journal of Computational Physics
Hi-index | 31.45 |
In this paper, we present a fast direct method for solving Poisson's or Helmholtz's equation in three-dimensional layered domains. The method combines a Fourier method for two dimensions and a variant of Wachspress's method in the third dimension. The resulting scheme is capable of efficiently creating solutions that are highly accurate even when the coefficients defining the layered structure are discontinuous or extreme mesh refinement is used.