کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776683 | 1632154 | 2017 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A second-order hybrid finite volume method for solving the Stokes equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
چکیده انگلیسی
This paper presents a second-order hybrid finite volume method for solving the Stokes equation on a two dimensional domain. The trial function space of the method for velocity is chosen to be a quadratic conforming finite element space with a hierarchical decomposition technique on triangular meshes, and its corresponding test function space consists of piecewise constant functions and piecewise quadratic polynomial functions based on a dual partition of the domain. The trial function space and test function space of the method for pressure are chosen to be a linear finite element space. We derive the inf-sup conditions of the discrete systems of the method on triangular meshes by using a relationship between the finite volume method and the finite element method. The well-posedness of the proposed finite volume method is obtained by using the Babuska-Lax-Milgram theorem. The error estimates of the optimal order are obtained in the H1-norm for velocity and in the L2-norm for pressure. Numerical experiments are presented to illustrate the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 119, September 2017, Pages 213-224
Journal: Applied Numerical Mathematics - Volume 119, September 2017, Pages 213-224
نویسندگان
Zhongying Chen, Yuesheng Xu, Jiehua Zhang,