Dimensions of spline spaces over T-meshes
Journal of Computational and Applied Mathematics
Polynomial splines over hierarchical T-meshes
Graphical Models
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
Computer Aided Geometric Design
Swept Volume Parameterization for Isogeometric Analysis
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Polynomial splines over general T-meshes
The Visual Computer: International Journal of Computer Graphics - Special Issue: CAD/Graphics 2009
Isogeometric Analysis: Toward Integration of CAD and FEA
Isogeometric Analysis: Toward Integration of CAD and FEA
Some estimates for h–p–k-refinement in Isogeometric Analysis
Numerische Mathematik
Volumetric geometry reconstruction of turbine blades for aircraft engines
Proceedings of the 7th international conference on Curves and Surfaces
Restricted Trivariate Polycube Splines for Volumetric Data Modeling
IEEE Transactions on Visualization and Computer Graphics
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Isogeometric analysis is a novel approach to numerical simulation that has the potential to bridge the gap between geometric design and numerical analysis. It uses the same exact geometry representation in all stages of the product development. In this paper we present recent results which demonstrate the competitiveness of the new concept in an industrial environment, more precisely, in the challenging field of aircraft engines. We study the deformation of turbine blades under the assumption of linear elasticity by considering all major loads and boundary conditions of a standard mechanical simulation process for turbine blades. We use the numerical approximations obtained by the classical finite element method as a benchmark for the capabilities of the new concept. It is shown that it is able to reach comparable results using only a small fraction of the number of degrees of freedom required by the classical method. Thus, isogeometric analysis allows using much coarser geometric representations for numerical simulation.