Finite Element Tearing and Interconnecting (FETI) methods are a powerful approach to designing solvers for large-scale problems in computational mechanics. The numerical simulation problem is subdivided into a number of independent sub-problems, which are then coupled in appropriate ways. NURBS- (Non-Uniform Rational B-spline) based isogeometric analysis (IGA) applied to complex geometries requ...

Most of the industrial parts are designed as trimmed NURBS. Today’s graphics hardware supports the high-speed display of polygonal objects consisting of triangles. This means that analytical surfaces (like NURBS) need to be triangulated so they can be displayed by 3D graphics cards. To be able to control the quality of the tesselated model, the triangulation should be carried out with a given e...

Advances in manufacturing technologies and in machine tools allow for unprecedented quality and efficiency in production lines, but also ask for new and increasing requirements on the motion planning and control systems. The increase of CPU processing power has permitted, in traditional CNC systems, the introduction of NURBS interpolation capabilities, thus determining a further increase in mac...

in the present research, implementations of different computational geometry technologies in isogeometric analysis framework for computational fracture mechanics are investigated. nurbs and t-splines are two different computational geometry technologies which are studied in this work. among features of b-spline basis functions the possibility of enhancing a b-spline basis with discontinuities b...

This paper presents the OMNI-Interpolator design based on the NURBS interpolation algorithm. The five main issues regarding CNC interpolator have been discussed. First, a unified NURBS interpolator is proposed to simplify the CNC interpolator design thoroughly. Then, the geometry chord error that usually occurs during interpolation calculation is well controlled to obtain high accuracy. Third, ...

In this paper, we consider the numerical approximation of high order Partial Differential Equations (PDEs) by means of NURBS–based Isogeometric Analysis (IGA) in the framework of the Galerkin method, for which global smooth basis functions with degree of continuity higher than C can be used. We derive a priori error estimates for high order elliptic PDEs under h–refinement, by extending existin...

In this paper a scheme of utilizing shape independent basis functions for the hierarchical multiresolution image compression is shown. For a given image texture region segmentation method is used. Following polygonal approximation of created segments causes a degradation of their boundaries. Using NURBS and Bézier interpolation and approximation segments’ boundaries are created, thus achieving ...

Trimming is an important primitive operation in geometric modeling. It is also the root of many numerical and topological problems in modern NURBS based CAGD systems. In this paper we introduce a new method for trimming subdivision surfaces. It is based on the use of combined subdivision schemes to guarantee exact interpolation of trim curves. The latter ensures, for example, that if two surfac...