CMMEXP
swMATH ID:  4454 
Software Authors:  Proskurowski, Wlodzimierz 
Description:  CMMPAK  the capacitance matrix software package The capacitance matrix method (CMM) extends the usefulness of fast elliptic solvers to nonrectangular regions. An iterative variant of CMM developed by D. P. O’Leary and O. Widlhund [Math. Comput. 33, 849879 (1979; Zbl 0407.65047)] and the author’s paper [ACM Trans. Math. Software 5, 3649 (1979; Zbl 0394.65029)] makes use of the fact that only a product of the capacitance matrix C and a given vector is required (without any explicit knowledge of the matrix C) and this product can be obtained essentially at the cost of a fast solver. The author presents the outline of the existing CMM package in 2D. For details see the author’s paper, ibid. 9, 117124 (1983; Zbl 0503.65064). The package consists of three solvers: CMMIMP, CMMEXP and CMMSIX. Each of these solvers computes the finite difference approximation to the solution of the Helmholtz equation in cartesian coordinates Δu(x,y)+cu(x,y)=f(x,y) on a nonrectangular 2D region. Here Δ is the Laplacian and c is a real constant. On the boundary of this region either the solution (Dirichlet condition) or the normal derivative of the solution is specified (Neumann condition). 
Homepage:  http://dl.acm.org/citation.cfm?id=356022.356028 
Keywords:  capacitance matrix method; fast elliptic solvers; nonrectangular regions; Helmholtz equation; Dirichlet condition; Neumann condition 
Related Software:  FISHPAK; ELLPACK; Algorithm 593; FFTW; CMMPAK; BRENT 
Cited in:  5 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

CMMPAK  the capacitance matrix software package. Zbl 0566.65076 Proskurowski, Wlodzimierz 
1984

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top 5
Cited by 6 Authors
1  Boisvert, Ronald F. 
1  Cummins, Patrick F. 
1  Feng, Hongsong 
1  Proskurowski, Włodzimierz 
1  Vallis, Geoffrey K. 
1  Zhao, Shan 
Cited in 2 Serials
2  Journal of Computational Physics 
2  ACM Transactions on Mathematical Software 
Cited in 2 Fields
5  Partial differential equations (35XX) 
5  Numerical analysis (65XX) 