Isopaxametric quadrilateral elements are widely used in the finite element method. However, they have a disadvantage of accuracy loss when elements are distorted. Spline functions have properties of simpleness and con...
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Isopaxametric quadrilateral elements are widely used in the finite element method. However, they have a disadvantage of accuracy loss when elements are distorted. Spline functions have properties of simpleness and conformality. A 17onode quadrilateral element has been developed using the bivaxiate quaxtic spline interpolation basis and the triangular area coordinates, which can exactly model the quartic displacement fields. Some appropriate examples are employed to illustrate that the element possesses high precision and is insensitive to mesh distortions.
In this paper, we present a method of simultaneous blending of implicitly defined convex polyhedral angles and solid models. This algorithm starts with a new suitable partition of the n-simplex over which the algebrai...
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In this paper, we present a method of simultaneous blending of implicitly defined convex polyhedral angles and solid models. This algorithm starts with a new suitable partition of the n-simplex over which the algebraic splines are defined. Then a cubic algebraic spline is constructed which meets the initial surfaces with G(2) continuity. Examples are provided to demonstrate the blending process. The results show some advantages of the new blending method. (C) 2007 Elsevier Ltd. All rights reserved.
In this paper, by using the technique of b-net method and the minimal determining set, the dimension of the space of bivariate C-1 cubic spline functions on a kind of refined triangulation, called Wang's refinemen...
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ISBN:
(纸本)9780769535210
In this paper, by using the technique of b-net method and the minimal determining set, the dimension of the space of bivariate C-1 cubic spline functions on a kind of refined triangulation, called Wang's refinement, is determined, and a set of dual basis with local support is given.
basic requirement for applying isoparametric element is that the element has to be convex and no violent distortion is allowed. In this paper, a cubic quadrilateral spline element with 12 nodes has been developed usin...
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basic requirement for applying isoparametric element is that the element has to be convex and no violent distortion is allowed. In this paper, a cubic quadrilateral spline element with 12 nodes has been developed using the triangular area coordinates and the b-net method, which can exactly model the cubic field for quadrilateral element with both convex and concave shapes. Neither mapping nor coordinate transformation is required and the spline element can obtain high accuracy solutions and insensitive to mesh distortions.
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