کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1140263 1489400 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
A low order characteristic-nonconforming finite element method for nonlinear Sobolev equation with convection-dominated term
چکیده انگلیسی
A low order nonconforming finite element method is combined with the method of characteristics to treat the nonlinear Sobolev equation with convection-dominated term. The optimal order error estimates in a broken H1-norm and L2-norm are obtained by some special properties of the interpolation operator and the mean value trick, instead of the so-called elliptic projection which is an indispensable tool in the convergence analysis of the previous literature. In addition, the global superconvergence is derived based on the interpolated postprocessing technique. The theoretical results are confirmed by some numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 114, August 2015, Pages 25-36
نویسندگان
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