Object-oriented finite element programming: I: Governing principles
Computer Methods in Applied Mechanics and Engineering
Object-oriented finite element in programming: II: A prototype program in Smalltalk
Computer Methods in Applied Mechanics and Engineering
The superconvergent patch recovery (SPR) and adaptive finite element refinement
Computer Methods in Applied Mechanics and Engineering - Special issue on reliability in computational mechanics
NURB curves and surfaces: from projective geometry to practical use
NURB curves and surfaces: from projective geometry to practical use
The NURBS book
An introduction to NURBS: with historical perspective
An introduction to NURBS: with historical perspective
Design of object oriented finite element code
Advances in Engineering Software
Object-oriented nonlinear finite element programming: a primer
Advances in Engineering Software
ACM SIGGRAPH 2003 Papers
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
Isogeometric Analysis: Toward Integration of CAD and FEA
Isogeometric Analysis: Toward Integration of CAD and FEA
Advances in Engineering Software
On linear independence of T-spline blending functions
Computer Aided Geometric Design
Advances in Engineering Software
Finite Element/Fictitious Domain programming for flows with particles made simple
Advances in Engineering Software
Construction of weighted dual graphs of NURBS-based isogeometric meshes
Advances in Engineering Software
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Isogeometric analysis has been recently introduced as a viable alternative to the standard, polynomial-based finite element analysis. Initially, the isogeometric approach has been developed using the NURBS and although it has been shown that it can outperform the classical finite element method in many aspects, there are several drawbacks, namely related to the handling trimmed geometries and to the refinement of the adopted discretization. These may be overcome by extending the concept of isogeometric analysis to so-called T-splines which are a generalization of NURBS. This paper presents how the isogeometric analysis based on T-spline can be integrated within an object oriented finite element environment. The class hierarchy and corresponding methods are designed in such a way, that most of the existing functionality of the finite element code is reused. The missing data and algorithms are developed and implemented in such a way that the object oriented features are fully retained. The performance of the implemented T-spline based isogeometric analysis methodology is presented on a simple example.