کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4958541 | 1364820 | 2017 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis](/preview/png/4958541.png)
چکیده انگلیسی
We derive equilibrated reconstructions of the Darcy velocity and of the total stress tensor for Biot's poro-elasticity problem. Both reconstructions are obtained from mixed finite element solutions of local Neumann problems posed over patches of elements around mesh vertices. The Darcy velocity is reconstructed using Raviart-Thomas finite elements and the stress tensor using Arnold-Winther finite elements so that the reconstructed stress tensor is symmetric. Both reconstructions have continuous normal component across mesh interfaces. Using these reconstructions, we derive a posteriori error estimators for Biot's poro-elasticity problem, and we devise an adaptive space-time algorithm driven by these estimators. The algorithm is illustrated on test cases with analytical solution, on the quarter five-spot problem, and on an industrial test case simulating the excavation of two galleries.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 73, Issue 7, 1 April 2017, Pages 1593-1610
Journal: Computers & Mathematics with Applications - Volume 73, Issue 7, 1 April 2017, Pages 1593-1610
نویسندگان
Rita Riedlbeck, Daniele A. Di Pietro, Alexandre Ern, Sylvie Granet, Kyrylo Kazymyrenko,