کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625504 1631762 2017 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation
ترجمه فارسی عنوان
تحليل بی قید و شرط ابررسانايي از عنصر متناسب با محدودیت براي معادله پارابوليک غيرخطي
کلمات کلیدی
معادله سهموی غیر خطی؛ خطای زمانی و خطای فضایی؛ بی قید و شرط؛ نتیجه Superclose
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

Galerkin finite element approximation to nonlinear parabolic equation is studied with a linearized backward Euler scheme. The error between the exact solution and the numerical solution is split into two parts which are called the temporal error and the spatial error through building a time-discrete system. On one hand, the temporal error derived skillfully leads to the regularity of the time-discrete system solution. On the other hand, the τ-independent spatial error and the boundedness of the numerical solution in L∞-norm is deduced with the above achievements. At last, the superclose result of order O(h2+τ)O(h2+τ) in H1-norm is obtained without any restriction of τ in a routine way. Here, h is the subdivision parameter, and τ, the time step.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 294, 1 February 2017, Pages 216–226
نویسندگان
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