کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639008 1632030 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Construction of polynomial extensions in two dimensions and application to the h-ph-p finite element method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Construction of polynomial extensions in two dimensions and application to the h-ph-p finite element method
چکیده انگلیسی

Polynomial extensions play a vital role in the analysis of the pp and h-ph-p FEM as well as the spectral element method. In this paper, we construct explicitly polynomial extensions on a triangle TT and a square SS, which lift a polynomial defined on a side ΓΓ or on whole boundary of TT or SS. The continuity of these extension operators from H0012(Γ) to H1(T)H1(T) or H1(S)H1(S) and from H12(∂T) to H1(T)H1(T) or from H12(∂S) to H1(S)H1(S) is rigorously proved in a constructive way. Applications of these polynomial extensions to the error analysis for the h-ph-p FEM are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 261, 1 May 2014, Pages 249–270
نویسندگان
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