کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
499883 | 863064 | 2007 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A posteriori error estimation of the representer method for single-phase Darcy flow
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A posteriori error estimation of the representer method for single-phase Darcy flow A posteriori error estimation of the representer method for single-phase Darcy flow](/preview/png/499883.png)
چکیده انگلیسی
A framework for goal-oriented a posteriori error estimation is developed for the representer method, a data assimilation scheme due to Bennett [A.F. Bennet, Inverse Methods in Physical Oceanography, Cambridge University Press, New York, NY, 1992]. This framework is used to derive an estimate in the case of a mixed finite element approximation of a linear parabolic equation modeling single-phase Darcy flow in porous media. The representer method is computationally expensive, as are most DA schemes; therefore, the error estimates are used to increase computational efficiency by allowing a systematic coarsening of the grids used to calculate the representers. Numerical experiments illustrate the derived estimates and computational savings.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 9–12, 1 February 2007, Pages 1623–1632
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 9–12, 1 February 2007, Pages 1623–1632
نویسندگان
John Baird, Clint Dawson,