کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901979 | 1631951 | 2018 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A posteriori error analysis of the Crank-Nicolson finite element method for linear parabolic interface problems: A reconstruction approach
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
This article studies a residual-based a posteriori error analysis for the Crank-Nicolson time-stepping finite element method for a linear parabolic interface problem in a bounded convex polygonal domain in R2. A piecewise linear finite element space is used in space that is allowed to change in time and a modified Crank-Nicolson approximation is applied for the time discretizations. We employ a space-time reconstruction that is piecewise quadratic in time and the Clément-type interpolation estimates to derive optimal order in time and an almost optimal order in space a posteriori error bound in the Lâ(L2)-norm. The interface is assumed to be of arbitrary shape but is of class C2 for our purpose. Numerical results are presented to validate the derived estimators.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 340, 1 October 2018, Pages 173-190
Journal: Journal of Computational and Applied Mathematics - Volume 340, 1 October 2018, Pages 173-190
نویسندگان
Jhuma Sen Gupta, Rajen Kumar Sinha, Gujji Murali Mohan Reddy, Jinank Jain,