Improving the Spherical Harmonics Expansion-Based Multilevel Fast Multipole Algorithm (SE-MLFMA)

2013 ◽  
Vol 12 ◽  
pp. 551-554 ◽  
Author(s):  
Mang He ◽  
Jinbo Liu ◽  
Kang Zhang
Keyword(s):  
Spherical Harmonics ◽  
Fast Multipole ◽  
Multilevel Fast Multipole Algorithm ◽  
Spherical Harmonics Expansion ◽  
Fast Multipole Algorithm

scholarly journals The Application of Improved Spherical Harmonics Expansion-Based Multilevel Fast Multipole Algorithm in the Solution of Volume-Surface Integral Equation

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Jinbo Liu ◽  
Mang He ◽  
Zengrui Li ◽  
Jianxun Su
Keyword(s):  
Integral Equation ◽  
Spherical Harmonics ◽  
Hardware Acceleration ◽  
Memory Requirement ◽  
Fast Multipole ◽  
Surface Integral ◽  
Surface Integral Equation ◽  
Multilevel Fast Multipole Algorithm ◽  
Spherical Harmonics Expansion ◽  
Fast Multipole Algorithm

During the solution of volume-surface integral equation (VSIE), to reduce the core memory requirement of the radiation patterns (RPs) of the basis functions, an improved spherical harmonics expansion-based multilevel fast multipole algorithm (SE-MLFMA) using the mixed-potential representation and the triangle-/tetrahedron-based grouping scheme is applied. Numerical results show that accompanying with a faster speed, the memory requirement of the RPs in the improved SE-MLFMA is several times less than that in the conventional MLFMA without compromising accuracy. A result employing the OpenMP parallelization and vector arithmetic logic unit (VALU) hardware acceleration technique is also shown to illustrate the robustness and scalability of the improved SE-MLFMA method.

Sign in / Sign up

Export Citation Format

Share Document