کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6915501 1447400 2018 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Error estimates of B-spline based finite-element methods for the stationary quasi-geostrophic equations of the ocean
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Error estimates of B-spline based finite-element methods for the stationary quasi-geostrophic equations of the ocean
چکیده انگلیسی
This paper presents theoretical error estimates of B-spline based finite-element methods for the streamfunction formulation of the stationary quasi-geostrophic equations, which describe the large scale wind-driven ocean circulation. We introduce variational formulations of the streamfunction formulation inspired by the interior penalty discontinuous Galerkin method. Dirichlet boundary conditions are weakly enforced in the formulations and stabilizations are achieved via Nitsche's method. Existence and uniqueness of the approximation are proved and optimal error estimates in the energy norm are demonstrated under a small data assumption. Numerical experiments are performed to verify the theoretical error estimates on rectangular and L-shape geometries.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 335, 15 June 2018, Pages 255-272
نویسندگان
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