کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4958385 | 1364812 | 2017 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A low-order finite element method for three dimensional linear elasticity problems with general meshes
ترجمه فارسی عنوان
یک روش عنصر محدود به منظور حل مسائل انعطاف پذیر خطی سه بعدی با مشهای عمومی
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کلمات کلیدی
کشش خطی سه بعدی، عناصر محدود سلول محور مش مشبک،
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
چکیده انگلیسی
The paper is concerned with a low-order finite element method, namely the staggered cell-centered finite element method, which has been proposed and analyzed in Ong et al. (2015) for two-dimensional compressible and nearly incompressible linear elasticity problems. In this work, we extend the results to the three-dimensional case and focus on the creating of the meshes. In particular, from a general primal mesh M, we construct a polygonal dual mesh Mâ and its submesh Mââ in a way such that each dual control volume of Mâ corresponds to a primal vertex and is a union (macro-element) of some fixed number of adjacent tetrahedral elements of Mââ. The displacement is approximated by piecewise trilinear functions on the subdual mesh Mââ and the pressure by piecewise constant functions on the dual mesh Mâ. As for two-dimensional case, such construction of the meshes and approximation spaces satisfies the macroelement condition, which implies stability and convergence of the scheme. Numerical experiments are carried out to investigate the performance of the proposed method on various mesh types.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 74, Issue 6, 15 September 2017, Pages 1379-1398
Journal: Computers & Mathematics with Applications - Volume 74, Issue 6, 15 September 2017, Pages 1379-1398
نویسندگان
Thi-Thao-Phuong Hoang, Duc Cam Hai Vo, Thanh Hai Ong,