Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations

2003 ◽  
Vol 27 (6) ◽  
pp. 625-637 ◽  
Author(s):  
Hang Ma ◽  
Norio Kamiya
Keyword(s):  
Numerical Solution ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Corner Singularities

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

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