کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6423073 | 1341248 | 2011 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations
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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 posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations](/preview/png/6423073.png)
چکیده انگلیسی
A posteriori estimates for mixed finite element discretizations of the Navier-Stokes equations are derived. We show that the task of estimating the error in the evolutionary Navier-Stokes equations can be reduced to the estimation of the error in a steady Stokes problem. As a consequence, any available procedure to estimate the error in a Stokes problem can be used to estimate the error in the nonlinear evolutionary problem. A practical procedure to estimate the error based on the so-called postprocessed approximation is also considered. Both the semidiscrete (in space) and the fully discrete cases are analyzed. Some numerical experiments are provided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 6, 15 October 2011, Pages 1103-1122
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 6, 15 October 2011, Pages 1103-1122
نویسندگان
Javier de Frutos, Bosco GarcÃa-Archilla, Julia Novo,