کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645952 | 1342072 | 2009 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Efficient spectral-Galerkin methods for polar and cylindrical geometries
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Efficient spectral-Galerkin methods for polar and cylindrical geometries Efficient spectral-Galerkin methods for polar and cylindrical geometries](/preview/png/4645952.png)
چکیده انگلیسی
A new spectral-Galerkin approach for solving the Poisson-type equation in polar geometry is introduced and analyzed. The pole singularity is treated naturally through an appropriate variational formulation. Clustering of collocation points near the pole, a problem common to the spectral-Galerkin algorithms in the literature, is prevented through a change of variable in the radial direction. The method is very efficient and gives spectral accuracy, and can be easily adopted to solve problems in cylindrical geometries and with general boundary conditions. Boundary lifting of general inhomogeneous boundary conditions is also addressed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 59, Issue 1, January 2009, Pages 170-186
Journal: Applied Numerical Mathematics - Volume 59, Issue 1, January 2009, Pages 170-186