کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645199 | 1632195 | 2014 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A discontinuous Galerkin method for a model arising from stratigraphy
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We investigate a mathematical problem arising from the modeling of maximal erosion rates in geological stratigraphy. A global constraint on âtu, the time-derivative of the solution, is the main feature of this model. This leads to a nonlinear pseudoparabolic equation with a diffusion coefficient which is a nonlinear function of âtu. Moreover, the problem degenerates in order to take implicitly into account the constraint. In this paper, we develop a numerical scheme based on the discontinuous Galerkin finite element method (DgFem) for its numerical approximation. With a particular choice of the flux at the interface, we prove that the constraint is implicitly satisfied by using piecewise constant approximation. This is confirmed by some numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 78, April 2014, Pages 68-79
Journal: Applied Numerical Mathematics - Volume 78, April 2014, Pages 68-79
نویسندگان
Roland Becker, Guy Vallet, Abdelaziz Taakili,