کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902601 1632143 2018 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A rational radial basis function method for accurately resolving discontinuities and steep gradients
ترجمه فارسی عنوان
یک روش تابع پایه رادیکال منطقی برای حل دقیق اختلالات و شیب های شیب دار
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
چکیده انگلیسی
Radial Basis Function (RBF) methods have become important tools for scattered data interpolation and for solving partial differential equations (PDEs) in complexly shaped domains. When the underlying function is sufficiently smooth, RBF methods can produce exceptional accuracy. However, like other high order numerical methods, if the underlying function has steep gradients or discontinuities the RBF method may/will produce solutions with non-physical oscillations. In this work, a rational RBF method is used to approximate derivatives of functions with steep gradients and discontinuities and to solve PDEs with such solutions. The method is non-linear and is more computationally expensive than the standard RBF method. A modified partition of unity method is discussed as an way to implement the rational RBF method in higher dimensions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 130, August 2018, Pages 131-142
نویسندگان
, ,