Incomplete block factorization preconditioning for linear systems arising in the numerical solution of the Helmholtz equation

1996 ◽  
Vol 19 (4) ◽  
pp. 495-508 ◽  
Author(s):  
Chun-Hua Guo
Keyword(s):  
Helmholtz Equation ◽  
Numerical Solution ◽  
Linear Systems ◽  
Incomplete Block ◽  
Block Factorization

scholarly journals Preconditioners for hierarchical matrices based on their extended sparse form

2016 ◽  
Vol 31 (1) ◽  
Author(s):  
Darya A. Sushnikova ◽  
Ivan V. Oseledets
Keyword(s):  
Numerical Solution ◽  
Linear Systems ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Hierarchical Matrices ◽  
Dense Matrices

AbstractIn this paper we consider linear systems with dense-matrices which arise from numerical solution of boundary integral equations. Such matrices can be well-approximated with ℋ

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
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