In this report, we present a new method, namely isogeometric analysis, proposed by T. Hughes and his collaborators, whose objective is to combine Computer Aided Design (CAD) tools and Finite-Element (FE) solvers into a single software entity. This consists in replacing grids by parametric surfaces and volumes to define the integration elements used in a variational formulation. This approach al...

In this paper an Isogeometric Boundary Element Method for three-dimensional lifting flows based on Morino’s (Morino and Kuo, 1974) formulation is presented. Analysis-suitable T-splines are used the representation of all boundary surfaces unknown perturbation potential approximated by same T-spline basis geometry. A novel numerical application so-called Kutta condition introduced that utilises a...

We extend the softFEM idea to isogeometric analysis (IGA) reduce stiffness (consequently, condition numbers) of IGA discretized problem. refer resulting approximation technique as softIGA. obtain discretization by first removing spectral outliers system’s stiffness. then add high-order derivative-jump penalization terms (with negative penalty parameters) standard bilinear forms. The parameter s...

In isogeometric analysis framework, computational domain is exactly described using the same representation as that employed in the CAD process. For a CAD object, we can construct various computational domain with same shape but with different parameterization. One basic requirement is that the resulting parameterization should have no self-intersections. In this paper, a linear and easy-to-che...

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...

A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non-Uniform Rational B-Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method zero level...

Isogeometric analysis allows to define shape functions of global C continuity (or of higher continuity) over multi-patch geometries. The construction of such C-smooth isogeometric functions is a non-trivial task and requires particular multi-patch parameterizations, so-called analysis-suitable G (in short, AS-G) parameterizations, to ensure that the resulting C isogeometric spaces possess optim...