scholarly journals A discrete collocation method for Symm's integral equation on curves with corners

1996 ◽  
Vol 75 (1) ◽  
pp. 131-146 ◽  
Author(s):  
Johannes Elschner ◽  
Ernst P. Stephan
Keyword(s):  
Integral Equation ◽  
Collocation Method ◽  
Symm’S Integral Equation

Error Bounds of a Fully Discrete Projection Method for Symm’s Integral Equation

2007 ◽  
Vol 7 (3) ◽  
pp. 255-263 ◽  
Author(s):  
S.G. Solodky ◽  
E.V. Lebedeva
Keyword(s):  
Integral Equation ◽  
Collocation Method ◽  
Projection Method ◽  
Error Bounds ◽  
Smooth Boundary ◽  
Approximation Properties ◽  
Method Error ◽  
Fully Discrete ◽  
Symm’S Integral Equation ◽  
Discrete Projection

Abstract The approximation properties of a fully discrete projection method for Symm’s integral equation with a infinite smooth boundary have been investigated. For the method, error bounds have been found in the metric of Sobolev’s spaces. The method turns out to be more accurate compared to the fully discrete collocation method known before.

Two-Grid Solution of Symm's Integral Equation

1996 ◽  
Vol 177 (1) ◽  
pp. 265-279 ◽  
Author(s):  
J. Saranen ◽  
G. Vainikko
Keyword(s):  
Integral Equation ◽  
Grid Solution ◽  
Symm’S Integral Equation
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