کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
513238 866460 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the enriched RBF method for singular potential problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
On the enriched RBF method for singular potential problems
چکیده انگلیسی

The performance of Kansa's method in the solution of elliptic partial differential equations (PDEs) with singular boundary conditions is addressed. Like in all global numerical schemes, low-order singularities bring about Gibbs’ oscillations that deteriorate the accuracy and the convergence rate of Kansa's method to a great extent. Moreover, they may render it uncapable of handling common problems of incompressible flow. Focussing on a problem of Laplacian flow which is linked to the benchmark Motz problem, it is shown how all these difficulties can be overcome by enriching the radial basis function (RBF) interpolant with the proper singularity-capturing terms. This simple modification even enables Kansa's method to outperform the finite element method (FEM) in the conservation of Laplacian flow through an irregular channel.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 33, Issues 8–9, August–September 2009, Pages 1062–1073
نویسندگان
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