Application of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity

1982 ◽  
Vol 45 (1-2) ◽  
pp. 31-47 ◽  
Author(s):  
N. I. Ioakimidis
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Three Dimensional ◽  
Singular Integral Equations ◽  
Finite Part ◽  
Crack Problems ◽  
Three Dimensional Elasticity

Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism

2018 ◽  
Vol 54 (9) ◽  
pp. 1225-1235 ◽  
Author(s):  
A. B. Samokhin ◽  
A. S. Samokhina ◽  
Yu. V. Shestopalov
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Three Dimensional ◽  
Singular Integral Equations ◽  
Discretization Methods

scholarly journals Numerical solution of integral equations with finite part integrals

1999 ◽  
Vol 22 (1) ◽  
pp. 155-160 ◽  
Author(s):  
Samir A. Ashour
Keyword(s):  
General Theory ◽  
Numerical Solution ◽  
Integral Equations ◽  
Singular Integral ◽  
Convergence Rates ◽  
Singular Integral Equations ◽  
Finite Part ◽  
Unbounded Operators

We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.

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