کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
513349 866470 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Use of singularity capturing functions in the solution of problems with discontinuous boundary conditions
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Use of singularity capturing functions in the solution of problems with discontinuous boundary conditions
چکیده انگلیسی

A method is proposed to improve the accuracy of the numerical solution of elliptic problems with discontinuous boundary conditions using both global and local meshless collocation methods with multiquadrics as basis functions. It is based on the use of special functions which capture the singular behavior near discontinuities in boundary conditions. In the case of global collocation, the method consists in enlarging the functional space spanned by the RBF basis functions, while in the case of local collocation, the method consists in modifying appropriately the problem in order to eliminate the singularities from the formulation. Numerical results for benchmark problems such as a stationary heat equation in a box (harmonic) and Stokes flow in a lid-driven square cavity, show significant improvements in accuracy and in compliance with the continuity equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 33, Issue 2, February 2009, Pages 200–208
نویسندگان
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