کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
500042 | 863069 | 2006 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analysis of a new stabilized higher order finite element method for advection–diffusion equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider a singularly perturbed advection–diffusion two-point boundary value problem whose solution has a single boundary layer. Based on piecewise polynomial approximations of degree k ⩾ 1, a new stabilized finite element method is derived in the framework of a variation multiscale approach. The method coincides with the SUPG method for k = 1 but differs from it for k ⩾ 2. Estimates for the error to an appropriate interpolant are given in several norms on different types of meshes. For k = 1 enhanced accuracy is achieved by superconvergence. Postprocessing guarantees the same estimates for the error to the solution itself.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 1–3, 1 December 2006, Pages 538–550
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 1–3, 1 December 2006, Pages 538–550
نویسندگان
Lutz Tobiska,