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
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
Object oriented implementation of the T-spline based isogeometric analysis
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. Similarly to the finite element method, isogeometric solution of complex engineering problems may lead to computationally very demanding analysis, demands of which can be alleviated by performing it in a parallel computing environment. While the actual parallelization of the isogeometric computational code resembles methodologically very much the parallelization of the finite element code, the construction of the appropriate domain decomposition of the isogeometric mesh is rather complicated compared to the partitioning of the finite element mesh. The aim of this paper is to introduce a new methodology for the construction of a weighted dual graph of a two-dimensional NURBS-based isogeometric mesh that can be decomposed by standard graph-based partitioning approaches.