کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641527 | 1341311 | 2009 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A priori and a posteriori error analyses in the study of viscoelastic problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A priori and a posteriori error analyses in the study of viscoelastic problems A priori and a posteriori error analyses in the study of viscoelastic problems](/preview/png/4641527.png)
چکیده انگلیسی
In this work, the numerical approximation of a viscoelastic problem is studied. A fully discrete scheme is introduced by using the finite element method to approximate the spatial variable and an Euler scheme to discretize time derivatives. Then, two numerical analyses are presented. First, a priori estimates are proved from which the linear convergence of the algorithm is derived under suitable regularity conditions. Secondly, an a posteriori error analysis is provided extending some preliminary results obtained in the study of the heat equation. Upper and lower error bounds are obtained.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 225, Issue 2, 15 March 2009, Pages 569–580
Journal: Journal of Computational and Applied Mathematics - Volume 225, Issue 2, 15 March 2009, Pages 569–580
نویسندگان
J.R. Fernández, P. Hild,