کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902709 1632148 2018 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A discrete divergence free weak Galerkin finite element method for the Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
A discrete divergence free weak Galerkin finite element method for the Stokes equations
چکیده انگلیسی
A discrete divergence free weak Galerkin finite element method is developed for the Stokes equations based on a weak Galerkin (WG) method introduced in [17]. Discrete divergence free bases are constructed explicitly for the lowest order weak Galerkin elements in two and three dimensional spaces. These basis functions can be derived on general meshes of arbitrary shape of polygons and polyhedrons. With the divergence free basis derived, the discrete divergence free WG scheme can eliminate pressure variable from the system and reduces a saddle point problem to a symmetric and positive definite system with many fewer unknowns. Numerical results are presented to demonstrate the robustness and accuracy of this discrete divergence free WG method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 125, March 2018, Pages 172-182
نویسندگان
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