کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629224 1340575 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application of tensor analysis to the finite element method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Application of tensor analysis to the finite element method
چکیده انگلیسی

This paper presents the application of tensor analysis to the finite element (FE) method. A FE formulation is presented where the suffix notation and the Einstein’s convention are used instead of the matrix algebra notation. The usage of the proposed notation avoids the drawbacks of matrix algebra and allows the easy implementation of the FE method in a computer code. The Dirichlet boundary condition is included in the FE formulation through the use of suffix constraints. Afterwards, the suffix notation is applied to the FE formulation of the Poisson equation and it is implemented in a C language. Finally, two numerical examples are solved to illustrate the advantages of using the proposed notation in the FE method.


► We applied tensor analysis to the finite element method.
► We applied the suffix notation and Einstein’s convention to the finite element method.
► The proposed approach was used to solve the Poisson equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 9, 1 January 2013, Pages 4625–4636
نویسندگان
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