Minimal Factorization, Linear Systems and Integral Operators

1985 ◽  
pp. 41-86 ◽  
Author(s):  
M. A. Kaashoek
Keyword(s):  
Linear Systems ◽  
Integral Operators ◽  
Minimal Factorization

scholarly journals Methods for Speeding Up the Boundary Element Solution of Acoustic Radiation Problems

1992 ◽  
Vol 114 (3) ◽  
pp. 374-380 ◽  
Author(s):  
S. M. Kirkup ◽  
D. J. Henwood
Keyword(s):  
Integral Equation ◽  
Boundary Element Method ◽  
Helmholtz Equation ◽  
Boundary Element ◽  
Linear Systems ◽  
Acoustic Radiation ◽  
Integral Operators ◽  
Test Problems ◽  
Element Solution ◽  
Integral Equation Formulation

Methods for speeding up the boundary element solution of acoustic radiation problems are considered. The methods are based on solving the integral equation formulation of Burton and Miller for the exterior Helmholtz equation over a range of frequencies simultaneously. Methods for speeding up the computation of the discrete forms of the integral operators and the solution of the linear systems that arise in the boundary element method are considered. A particular implementation of speedup methods is described. Results from the application of this to test problems are given.

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