KIFMM3d Code Publications
Several papers discuss the specific nature of the Kernel-Independent
FMM (KIFMM) 3D code. Additionally, they provide references to the
most relevant papers concerning FMM in general.
- A Kernel-independent Adaptive Fast
Multipole Method in Two and Three Dimensions. L. Ying, G. Biros,
D. Zorin. Journal of Computational Physics, 196(2), 591-626,
2004. (General KIFMM discussion as well as listing of several kernels).
- A New Parallel Kernel-independent
Fast Multipole Method. L. Ying, G. Biros, D. Zorin,
H. Langston. The 16th ACM/IEEE Conference on Supercomputing,
2003. This paper is the Best Student Paper and nominated for the
Gordon Bell award and the Best Technical Paper award. (Parallel issues
discussed as well as timing results).
- The Embedded Boundary Integral
Equation Solver for the Incompressible Navier-Stokes
Equations. G. Biros, L. Ying, D. Zorin. International Association
for Boundary Element Methods Symposium, 2002. (KIFMM used for solving
parts of the Navier-Stokes equations).
- A Fast Solver for the Stokes Equations
with Distributed Forces in Complex Geometries. G. Biros, L. Ying,
D. Zorin. Journal of Computational Physics, 194(1), 317-348, 2004.
- An Embedded Boundary Integral
Equation Solver for the Unsteady Incompressible Navier-Stokes
Equations. G. Biros, L. Ying, D. Zorin. Submitted (2004).