2DWFMM
swMATH ID:  10424 
Software Authors:  Cho, Min Hyung; Cai, Wei 
Description:  A wideband fast multipole method for the twodimensional complex Helmholtz equation. A wideband fast multipole method (FMM) for the 2D Helmholtz equation is presented. It can evaluate the interactions between \(N\) particles governed by the fundamental solution of 2D complex Helmholtz equation in a fast manner for a wide range of complex wave number \(k\), which was not easy with the original FMM due to the instability of the diagonalized conversion operator. This paper includes the description of theoretical backgrounds, the FMM algorithm, software structures, and some test runs. 
Homepage:  http://www.cpc.cs.qub.ac.uk/summaries/AEHI_v1_0.html 
Keywords:  wideband fast multipole method; Helmholtz equation; fast solver; numerical examples; algorithm 
Related Software:  Chebfun; DASHMM; Cilk; GMRES; FMMYukawa; FIFA 
Cited in:  6 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

A wideband fast multipole method for the twodimensional complex Helmholtz equation. Zbl 1219.65140 Cho, Min Hyung; Cai, Wei 
2010

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top 5
Cited by 11 Authors
4  Cho, Minhyung 
3  Cai, Wei 
1  Chen, Dangxing 
1  Chen, Haibo 
1  Chen, Leilei 
1  Davis, Christopher B. 
1  Huang, Jingfang 
1  Kim, June Gi 
1  Oh, HaeSoo 
1  Xiang, Shuhuang 
1  Zheng, Changjun 
Cited in 5 Serials
2  Journal of Computational Physics 
1  Computer Physics Communications 
1  Computational Mechanics 
1  Journal of Scientific Computing 
1  International Journal of Computer Mathematics 
Cited in 5 Fields
4  Numerical analysis (65XX) 
3  Partial differential equations (35XX) 
2  Optics, electromagnetic theory (78XX) 
1  Integral equations (45XX) 
1  Mechanics of deformable solids (74XX) 