کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
498711 863009 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On convergence of nonconforming convex quadrilateral finite elements AGQ6
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
On convergence of nonconforming convex quadrilateral finite elements AGQ6
چکیده انگلیسی

The 4-node quadrilateral membrane elements AGQ6-I and II are two novel incompatible models formulated by the Quadrilateral Area Coordinate Method (QACM). In this paper, the sufficient conditions for their convergence are established. It is further shown theoretically that the convergence in the energy norm is linear, and the convergence in the L2 norm is quadratic provided that certain geometric conditions are met requiring asymptotically parallelograms meshes to be used. The necessity of conditions is also discussed. The results of numerical examples completely confirm the theoretical findings.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 199, Issues 25–28, 15 May 2010, Pages 1816–1827
نویسندگان
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