کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
500208 | 863076 | 2007 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Adaptive computations using material forces and residual-based error estimators on quadtree meshes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Adaptive computations using material forces and residual-based error estimators on quadtree meshes Adaptive computations using material forces and residual-based error estimators on quadtree meshes](/preview/png/500208.png)
چکیده انگلیسی
Quadtree is a hierarchical data structure that is well-suited for h-adaptive mesh refinement. Due to the presence of hanging nodes, classical shape functions are non-conforming on quadtree meshes. In this paper, we use natural neighbor basis functions to construct conforming interpolants on quadtree meshes. To this end, the recently proposed construction of polygonal basis functions is adapted to quadtree elements. A fast technique for calculating stiffness matrix on quadtree meshes is introduced. Residual-based error estimators and material force technique are used to estimate the error on quadtree meshes. The performance of the adaptive technique is demonstrated through the solution of linear and nonlinear boundary-value problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 25–28, 1 May 2007, Pages 2657–2680
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 25–28, 1 May 2007, Pages 2657–2680
نویسندگان
A. Tabarraei, N. Sukumar,