کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
512480 866412 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application of variational mesh generation approach for selecting centers of radial basis functions collocation method
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Application of variational mesh generation approach for selecting centers of radial basis functions collocation method
چکیده انگلیسی

In this paper, a two-dimensional variational mesh generation method is applied to obtain adaptive centers for radial basis functions (RBFs). At first, a set of uniform centers is distributed in the domain, then mesh generation differential equations are used to move the centers to region with high gradients. An iterative algorithm is introduced to solve steady-state mesh generation differential equations with RBFs. Functions with steep variation in the domains are used to validate the adaptive centers generation method. In addition to the centers adaption process is applied to solve elliptic partial differential equations via RBFs collocation method. Numerical results of Helmholtz differential equation show a clear reduction in the error, when the adaptive centers are used for RBFs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 37, Issue 12, December 2013, Pages 1567–1575
نویسندگان
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