Isogeometric analysis with geometrically continuous functions on two-patch geometries
نویسندگان
چکیده
منابع مشابه
Isogeometric analysis with geometrically continuous functions on two-patch geometries
We study the linear space of C-smooth isogeometric functions defined on a multi-patch domain Ω ⊂ R. We show that the construction of these functions is closely related to the concept of geometric continuity of surfaces, which has originated in geometric design. More precisely, the C-smoothness of isogeometric functions is found to be equivalent to geometric smoothness of the same order (G-smoot...
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We generate a basis of the space of bicubic and biquartic C-smooth geometrically continuous isogeometric functions on bilinear multi-patch domains Ω ⊂ R. The basis functions are obtained by suitably combining C-smooth geometrically continuous isogeometric functions on bilinearly parameterized two-patch domains (cf. [16]). They are described by simple explicit formulas for their spline coefficie...
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The space of C-smooth geometrically continuous isogeometric functions on bilinearly parameterized two-patch domains is considered. The investigation of the dimension of the spaces of biquintic and bisixtic C-smooth geometrically continuous isogeometric functions on such domains is presented. In addition, C-smooth isogeometric functions are constructed to be used for performing L-approximation a...
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We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate substitution of Bsplines that may lead to ill-conditioned system matrices. The construction for non-uniform knot vectors is presented. The properties of extended B-splines are examined in the context of interpolation, potential, and linear ...
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This paper deals with the isogeometric analysis using B-splines of space rods subject to Kirchhoff-Love hypotheses. A multi-patch isogeometric approach for the numerical analysis of the three-dimensional Kirchhoff-Love rod theory is developed. We use Bezier and B-splines interpolations and we show that they are able to attain very good accuracy for rod structures, particularly for developing a ...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2015
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2015.04.004