Analysis of Numerical Integration Accuracy of Singular Integrals in Moment Method of TDEFIE

2006 ◽  
Author(s):  
Zhao Yan-Wen ◽  
Zhao Qing-Guang ◽  
Luo Xi ◽  
Nie Zai-Ping ◽  
Bi Hai-Yan
Keyword(s):  
Numerical Integration ◽  
Moment Method ◽  
Singular Integrals

Numerical integration schemes for evaluation of (hyper)singular integrals in 2D BEM

1998 ◽  
Vol 22 (1) ◽  
pp. 1-11 ◽  
Author(s):  
A. Aimi ◽  
A. Carini ◽  
M. Diligenti ◽  
G. Monegato
Keyword(s):  
Numerical Integration ◽  
Singular Integrals ◽  
Integration Schemes

On the numerical integration of certain singular integrals

Computing ◽  
1992 ◽  
Vol 48 (2) ◽  
pp. 177-189 ◽  
Author(s):  
H. W. Stolle ◽  
R. Strauss
Keyword(s):  
Numerical Integration ◽  
Singular Integrals

scholarly journals Analysis of Numerical Measure and Numerical Integration Based on Measure

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Yinkun Wang ◽  
Jianshu Luo ◽  
Xiangling Chen
Keyword(s):  
Numerical Method ◽  
Convergence Analysis ◽  
Numerical Integration ◽  
Error Bound ◽  
Lagrange Interpolation ◽  
Singular Integrals ◽  
Specific Method ◽  
Numerical Examples ◽  
Measure Function ◽  
Theoretical Results

We present a convergence analysis for a general numerical method to estimate measure function. By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. Further, we analyze the error bound of numerical measure integration and prove that the numerical measure integration can decrease the singularity for singular integrals. Numerical examples are presented to confirm the theoretical results.

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