Capacitance Matrix Methods for the Helmholtz Equation on General Three-Dimensional Regions

Dianne P. O'Leary; Olof Widlund

doi:10.2307/2006065

Capacitance Matrix Methods for the Helmholtz Equation on General Three-Dimensional Regions

Mathematics of Computation ◽

10.2307/2006065 ◽

1979 ◽

Vol 33 (147) ◽

pp. 849 ◽

Cited By ~ 49

Author(s):

Dianne P. O'Leary ◽

Olof Widlund

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Matrix Methods ◽

Capacitance Matrix

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Capacitance matrix methods for the Helmholtz equation on general three-dimensional regions. [DPOLE, driver program for HELM3D, which solves Dirichlet problem of bounded 3D region imbedded in unit cube, in CDC ANSI FORTRAN for CDC 6600, CDC 7600, Amdahl 470V/6]

10.2172/6424896 ◽

1978 ◽

Author(s):

D O'Leary ◽

O Widlund

Keyword(s):

Dirichlet Problem ◽

Helmholtz Equation ◽

Three Dimensional ◽

Unit Cube ◽

Matrix Methods ◽

Capacitance Matrix

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Capacitance matrix methods for the Helmholtz equation on general three-dimensional regions

Mathematics of Computation ◽

10.1090/s0025-5718-1979-0528044-7 ◽

1979 ◽

Vol 33 (147) ◽

pp. 849-849 ◽

Cited By ~ 8

Author(s):

Dianne P. O’Leary ◽

Olof Widlund

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Matrix Methods ◽

Capacitance Matrix

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Eigenvalues of Two- and Three-Dimensional Systems by Matrix Methods

American Journal of Physics ◽

10.1119/1.1976012 ◽

1970 ◽

Vol 38 (10) ◽

pp. 1225-1229

Author(s):

Michel Nicola

Keyword(s):

Three Dimensional ◽

Matrix Methods

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Solution of the Three Dimensional Scalar Helmholtz Equation by a Finite Element Formulation

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19770570206 ◽

1977 ◽

Vol 57 (2) ◽

pp. 95-99 ◽

Cited By ~ 4

Author(s):

N. Gass

Keyword(s):

Finite Element ◽

Helmholtz Equation ◽

Three Dimensional ◽

Finite Element Formulation ◽

Element Formulation

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INVESTIGATION OF THE THREE-DIMENSIONAL HELMHOLTZ EQUATION FOR A WEDGE USING THE BLOCK ELEMENT METHOD

Journal of Applied Mechanics and Technical Physics ◽

10.1134/s0021894421050023 ◽

2021 ◽

Vol 62 (5) ◽

pp. 717-722

Author(s):

V. A. Babeshko ◽

O. V. Evdokimova ◽

O. M. Babeshko

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Block Element ◽

Block Element Method ◽

Element Method

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CAPACITANCE MATRIX METHODS - A BRIEF SURVEY

Elliptic Problem Solvers ◽

10.1016/b978-0-12-632620-8.50038-3 ◽

1981 ◽

pp. 391-398 ◽

Cited By ~ 1

Author(s):

Wlodzimierz Proskurowski

Keyword(s):

Matrix Methods ◽

Capacitance Matrix

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Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2007009 ◽

2007 ◽

Vol 41 (1) ◽

pp. 147-167 ◽

Cited By ~ 41

Author(s):

Xavier Antoine ◽

Marion Darbas

Keyword(s):

Helmholtz Equation ◽

Integral Equations ◽

Three Dimensional ◽

Iterative Solution ◽

Field Integral

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A Parallel Fictitious Domain Method for the Three-Dimensional Helmholtz Equation

SIAM Journal on Scientific Computing ◽

10.1137/s1064827500370305 ◽

2003 ◽

Vol 24 (5) ◽

pp. 1567-1588 ◽

Cited By ~ 26

Author(s):

Erkki Heikkola ◽

Tuomo Rossi ◽

Jari Toivanen

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Fictitious Domain ◽

Fictitious Domain Method ◽

Domain Method

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One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation

Journal of Computational Physics ◽

10.1016/j.jcp.2008.11.013 ◽

2009 ◽

Vol 228 (6) ◽

pp. 1815-1829 ◽

Cited By ~ 18

Author(s):

C.M. Linton ◽

I. Thompson

Keyword(s):

Helmholtz Equation ◽

Three Dimensional ◽

Two Dimensional ◽

Dimensional Lattice ◽

Lattice Sums

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Numerical experiments on the Helmholtz equation derived from the solar radiation transfer equation in three-dimensional space

Applied Mathematics and Computation ◽

10.1016/0096-3003(80)90003-x ◽

1980 ◽

Vol 7 (2) ◽

pp. 155-175 ◽

Cited By ~ 2

Author(s):

Szu-Cheng S. Ou ◽

Kuo-Nan Liou

Keyword(s):

Solar Radiation ◽

Helmholtz Equation ◽

Transfer Equation ◽

Numerical Experiments ◽

Radiation Transfer ◽

Dimensional Space ◽

Three Dimensional ◽

Radiation Transfer Equation ◽

Three Dimensional Space

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