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Algorithm 593: A Package for the Helmholtz Equation in Nonrectangular Planar Regions
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 9 ,  Issue 1  (March 1983) table of contents
Pages: 117 - 124  
Year of Publication: 1983
ISSN:0098-3500
Author
Wlodzimierz Proskurowski  Department of Mathematics, University of Southern California, Los Angeles, CA
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 5,   Downloads (12 Months): 26,   Citation Count: 2
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APPENDICES and SUPPLEMENTS
Fourier method extended to nonrectangular regions using the capacitance matrix method: the Helmholtz equation on bounded nonrectangular planar regions with Dirichlet or Neumann boundary conditions
Gams: I2b1a1b


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
BUZBEE, B.L., DORR, F.W., GEORGE, J.A., AND GOLUB, G.H. The direct solution of the discrete Poisson equation on irregular regions. SIAM J. Numer. Anal. 8 (1971), 722-736.
 
2
O'LEARY, D.P., AND WIDLUND, O. Capacitance matrix methods for the Helmholtz equation on general three-dimensional regions. Math. Comput. 33 (1979), 849-879.
 
3
PEREYRA, V., PROSKUROWSKI, W., AND WIDLUND, 0. High order fast Laplace solvers for the Dtrichlet problem on general regions. Math. Comput. 31 (1977), 1-16.
 
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PROSKUROWSKI, W. Four Fortran programs for numerically solving Helmholtz's equation in an arbitrary bounded planar region. Rep. LBL-7516, Lawrence Berkeley Laboratory, Berkeley, Calif., 1978.
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PROSKUROWSKI, W. Efficiency of iterative variants of the capacitance matrix method. In R. Vlchnevetsky and R.S. Stepleman (Eds), Advances m Computer Methods for PDEs--IV, IMACS Publ, 1981, pp. 274-280.
 
7
PROSKUROWSKI, W., AND WIDLUND, O. On the numerical solution of Helmholtz's equation by the capacitance matrix method. Math. Comput. 30 (1976), 433-468.
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TEMPERTON, C. Fast Polsson-solver for an octagonal domain. In U. Schumann (Ed.), Fast Elhpt~c Solvers, Advance Publications, United Kingdom, 1978, pp. 170-181.
 
10
TEMPERTON, C. Direct methods for the solution of the discrete Poisson equation: Some comparisons J. Comput. Phys. 31 (1979), 1-20.


Collaborative Colleagues:
Wlodzimierz Proskurowski: colleagues