A fast algorithm for particle simulations
Journal of Computational Physics
A New Fast-Multipole Accelerated Poisson Solver in Two Dimensions
SIAM Journal on Scientific Computing
Approximation of Integral Operators by Variable-Order Interpolation
Numerische Mathematik
The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering)
Volumetric fast multipole method for modeling Schrödinger's equation
Journal of Computational Physics
Applications of a fast multipole Galerkin in boundary element method in linear elastostatics
Computing and Visualization in Science
Hi-index | 0.00 |
The solution of inhomogeneous partial differential equations by boundary element methods requires the evaluation of volume potentials. A direct standard computation of the classical Newton potentials is possible but expensive. Here, a fast evaluation of the Newton potentials by using the fast multipole method is described and analyzed. In particular, an approximation by the fast multipole method is investigated and related error estimates are given. Furthermore, an indirect evaluation of the normal derivative of the Newton potential is presented. A numerical analysis is presented for all approaches mentioned above. Numerical results are presented for the Poisson equation and for the system of linear elastostatics.