کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637872 1631984 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation
چکیده انگلیسی

This paper presents an arbitrary order locking-free numerical scheme for linear elasticity on general polygonal/polyhedral partitions by using weak Galerkin (WG) finite element methods. Like other WG methods, the key idea for the linear elasticity is to introduce discrete weak strain and stress tensors which are defined and computed by solving inexpensive local problems on each element. Such local problems are derived from weak formulations of the corresponding differential operators through integration by parts. Locking-free error estimates of optimal order are derived in a discrete H1H1-norm and the usual L2L2-norm for the approximate displacement when the exact solution is smooth. Numerical results are presented to demonstrate the efficiency, accuracy, and the locking-free property of the weak Galerkin finite element method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 307, 1 December 2016, Pages 346–366
نویسندگان
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