10 فروردین 1403

عباس دشتی منش

مرتبه علمی: استادیار
نشانی: -
تحصیلات: دکترای تخصصی / مهندسی دریا
تلفن: -
دانشکده:

مشخصات پژوهش

عنوان Solution of Poisson’s equation by analytical boundary element integration
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله APPLIED MATHEMATICS AND COMPUTATION
شناسه DOI
پژوهشگران پرویز قدیمی (نفر اول) ، عباس دشتی منش (نفر دوم) ، حسین حسین زاده (نفر سوم)

چکیده

The solution of Poisson’s equation is essential for many branches of science and engineering such as fluid-mechanics, geosciences, and electrostatics. Solution of two-dimensional Poisson’s equations is carried out by BEM based on Galerkin Vector Method in which the integrals that appear in the boundary element method are expressed by analytical integration. In this paper, the Galerkin vector method is developed for more general case than presented in the previous works. The integrals are computed for constant and linear elements in BEM. By employing analytical integration in BEM computation, the numerical schemes and coordinate transformations can be avoided. The presented method can also be used for the multiple domain case. The results of the analytical integration are employed in BEM code and the obtained analytical expression will be applied to several examples where the exact solution exists. The produced results are in good agreement with the exact solution.