کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10346030 698702 2015 106 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Orientation embedded high order shape functions for the exact sequence elements of all shapes
ترجمه فارسی عنوان
جهت قرار دادن توابع شکل بالا برای عناصر توالی دقیق از تمام اشکال
کلمات کلیدی
توابع شکل بالا، تعبیه جهت، فضاهای انرژی، هرم، توابع شکل سلسله مراتبی، مش های ترکیبی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
A unified construction of high order shape functions is given for all four classical energy spaces (H1, H(curl), H(div) and L2) and for elements of “all” shapes (segment, quadrilateral, triangle, hexahedron, tetrahedron, triangular prism and pyramid). The discrete spaces spanned by the shape functions satisfy the commuting exact sequence property for each element. The shape functions are conforming, hierarchical and compatible with other neighboring elements across shared boundaries so they may be used in hybrid meshes. Expressions for the shape functions are given in coordinate free format in terms of the relevant affine coordinates of each element shape. The polynomial order is allowed to differ for each separate topological entity (vertex, edge, face or interior) in the mesh, so the shape functions can be used to implement local p adaptive finite element methods. Each topological entity may have its own orientation, and the shape functions can have that orientation embedded by a simple permutation of arguments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 70, Issue 4, August 2015, Pages 353-458
نویسندگان
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