The screened Coulomb (Yukawa or Debye-Hückel) potential, = exp(-κr )/r , where r is the separation distance and κ is the Debye-Hückel screening parameter, gives a good description of the electrostatic interactions in a variety of biologically and physically important charged systems. It is well know
A Fast Adaptive Multipole Algorithm in Three Dimensions
✍ Scribed by H. Cheng; L. Greengard; V. Rokhlin
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 373 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
✦ Synopsis
We present an adaptive fast multipole method for the Laplace equation in three dimensions. It uses both new compression techniques and diagonal forms for translation operators to achieve high accuracy at a reasonable cost.
📜 SIMILAR VOLUMES
A normalized three-dimensional 3-D multile¨el fast mul-( ) ( ) tipole algorithm MLFMA with a computational complexity of O N for ( ) ¨ery low-frequency LF problems is de¨eloped. This 3-D LF-MLFMA can be used not only independently for ¨ery low-frequency cases or ¨ery small structures compared to the
## Abstract A multi‐tree scheme to apply the low‐frequency multilevel fast multipole algorithm to composite structures is presented, so that __O__(__N__) CPU time and memory usage are obtained. The convenience of “plug and play” in electromagnetic simulation is illustrated in the scenario of contac
## Abstract The multilevel fast multipole algorithm (MLFMA) is applied to the problem of a general three‐dimensional dielectric target above or below a lossy half space. The dyadic half‐space Green's function is evaluated rigorously for the “near” MLFMA interactions, while an asymptotic Green's fun