On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

2019 ◽  
Vol 11 (4) ◽  
pp. 807-837 ◽  
Author(s):  
global sci
Keyword(s):  
Numerical Solution ◽  
Integral Equations ◽  
Collocation Method ◽  
Boundary Integral Equations ◽  
Boundary Integral

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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