کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
499320 863039 2009 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection–diffusion equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection–diffusion equations
چکیده انگلیسی

We consider the one-level approach of the local projection stabilization (LPS) for solving a singularly perturbed advection–diffusion two-point boundary value problem. Eliminating the enrichments we end up with the differentiated residual method (DRM) which coincides for piecewise linears with the streamline upwind Petrov–Galerkin (SUPG) method and for piecewise polynomials of degree r⩾2r⩾2 with the variational multiscale method (VMS). Furthermore, we show that in certain cases the stabilization parameter can be chosen in such a way that the piecewise linear part of the solution becomes nodal exact. In this way, we obtain explicit formulas for the stabilization parameter depending on the local meshsize, the polynomial degree r of the approximation space, and the data of the problem. Finally, we discuss the behaviour of different modes of the discrete solution when varying the stabilization parameter.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 198, Issues 5–8, 15 January 2009, Pages 831–837
نویسندگان
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