کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643508 1341383 2006 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical evaluation of two-dimensional singular boundary integrals—Theory and Fortran code
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical evaluation of two-dimensional singular boundary integrals—Theory and Fortran code
چکیده انگلیسی

In this paper, an approach is presented for the numerical evaluation of weakly, strongly, hyper- and super-singular boundary integrals which exist in the Cauchy principal value sense in two-dimensional problems. In this approach, the singularities involved in integration kernels are analytically removed by expressing the nonsingular parts of the integration kernels as polynomials of the distance rr. A self-contained Fortran code is listed and described for implementation of the proposed approach. The attached code is also able to evaluate general regular integrals using Gaussian quadrature, which enables the code to evaluate any two-dimensional boundary integral. Some examples are provided to verify the correctness of the presented formulations and the included code.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 188, Issue 1, 1 April 2006, Pages 44–64
نویسندگان
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