scholarly journals On the computationally efficient numerical solution to the Helmholtz equation

2014 ◽  
Vol 9 ◽  
pp. 259-266
Author(s):  
Angwenyi N. David ◽  
Lawi George ◽  
Ojiema Michael ◽  
Owino Maurice
Keyword(s):  
Helmholtz Equation ◽  
Numerical Solution ◽  
Computationally Efficient

On the numerical solution of a nonlinear stochastic Helmholtz equation with a multigrid preconditioner

1986 ◽  
Vol 19 (1-4) ◽  
pp. 145-157 ◽  
Author(s):  
Kirk E. Jordan ◽  
George C. Papanicolaou ◽  
R. Spigler
Keyword(s):  
Helmholtz Equation ◽  
Numerical Solution

GREEN FUNCTION DISCRETIZATION FOR NUMERICAL SOLUTION OF THE HELMHOLTZ EQUATION

1995 ◽  
Vol 187 (4) ◽  
pp. 553-568 ◽  
Author(s):  
J.E. Caruthers ◽  
J.C. French ◽  
G.K. Raviprakash
Keyword(s):  
Green Function ◽  
Helmholtz Equation ◽  
Numerical Solution

scholarly journals Multigroup kinetic description of X-ray transport in hohlraums

2004 ◽  
Vol 22 (1) ◽  
pp. 65-68 ◽  
Author(s):  
E.G. BALDINA
Keyword(s):  
Optical Properties ◽  
Numerical Solution ◽  
Radiation Transport ◽  
Detailed Account ◽  
View Factor ◽  
Kinetic Description ◽  
Computationally Efficient ◽  
Angular Anisotropy ◽  
X Ray

The article presents the multigroup kinetic approximation of radiation transport in hohlraum systems. The view factor-based method of numerical solution is proposed. Its advantages are a detailed account of the problem geometry and accurate handling of the solution angular anisotropy and discontinuities. The method is computationally efficient and easily parallelizable. Coupled to the kinetic + hydro description of the wall dynamics, it represents a powerful tool for integrated investigation of the systems with strongly inhomogeneous optical properties.

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