منابع مشابه
Bivariate C1 Quadratic Finite Elements and Vertex Splines
Following work of Heindl and of Powell and Sabin, each triangle of an arbitrary (regular) triangulation A of a polygonal region ii in R is subdivided into twelve triangles, using the three medians, yielding the refinement A of A , so that C quadratic finite elements can be constructed. In this paper, we derive the Bézier nets of these elements in terms of the parameters that describe function a...
متن کاملRATIONAL CHARACTER TABLE OF SOME FINITE GROUPS
The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...
متن کاملBases for C0-P1 divergence-free elements and for C1-P2 finite elements on union jack grids
It is a challenge to find point wise (including inter-element boundary) divergence-free finite element bases. By identifying functions in the kernel of the divergence operator, we discover a local basis for the full divergence-free space of the C0-P1 finite element, on the union jack grid. The optimal order of approximation is shown for the P1 divergence-free finite elements on union jack grids...
متن کاملC1 finite elements on non-tensor-product 2d and 3d manifolds
Geometrically continuous (Gk ) constructions naturally yield families of finite elements for isogeometric analysis (IGA) that are Ck also for non-tensor-product layout. This paper describes and analyzes one such concrete C1 geometrically generalized IGA element (short: gIGA element) that generalizes bi-quadratic splines to quad meshes with irregularities. The new gIGA element is based on a rece...
متن کاملOn the convexity of C1 surfaces associated with some quadrilateral finite elements
We analyse the convexity property of two classical finite elements and of the associated piecewise polynomial C surfaces. The first one is the piecewise cubic quadrilateral of Fraeijs de Veubeke. The second one is a piecewise quadratic rectangle introduced by Sibson and Thomson and generalized by Sablonnière and Zedek. In both cases, we first study the local problem and then we extend our resul...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1991
ISSN: 0898-1221
DOI: 10.1016/0898-1221(91)90064-b