A review on XIGA method for computational fracture mechanics applications
This paper is devoted to a state-of-the-art review on extended Isogeometric Analysis (XIGA)
for computational fracture mechanics. The basic knowledge and formulations of the recently …
for computational fracture mechanics. The basic knowledge and formulations of the recently …
Isogeometric boundary element analysis using unstructured T-splines
We couple collocated isogeometric boundary element methods and unstructured analysis-
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …
Local refinement of analysis-suitable T-splines
We develop a local refinement algorithm for analysis-suitable T-splines which does not
produce excessive propagation of control points. We then demonstrate its use as an …
produce excessive propagation of control points. We then demonstrate its use as an …
Isogeometric finite element data structures based on Bézier extraction of T‐splines
We develop finite element data structures for T‐splines based on Bézier extraction
generalizing our previous work for NURBS. As in traditional finite element analysis, the …
generalizing our previous work for NURBS. As in traditional finite element analysis, the …
GeoPDEs: a research tool for isogeometric analysis of PDEs
C De Falco, A Reali, R Vázquez - Advances in Engineering Software, 2011 - Elsevier
GeoPDEs (http://geopdes. sourceforge. net) is a suite of free software tools for applications
on Isogeometric Analysis (IGA). Its main focus is on providing a common framework for the …
on Isogeometric Analysis (IGA). Its main focus is on providing a common framework for the …
Hierarchical T-splines: Analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
In this paper hierarchical analysis-suitable T-splines (HASTS) are developed. The resulting
spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. The …
spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. The …
Isogeometric spline forests
In this paper we present isogeometric spline forests. An isogeometric spline forest is a
hierarchical spline representation capable of representing surfaces or volumes of arbitrarily …
hierarchical spline representation capable of representing surfaces or volumes of arbitrarily …
Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to …
We introduce Bézier projection as an element-based local projection methodology for B-
splines, NURBS, and T-splines. This new approach relies on the concept of Bézier …
splines, NURBS, and T-splines. This new approach relies on the concept of Bézier …
Effortless quasi-interpolation in hierarchical spaces
H Speleers, C Manni - Numerische Mathematik, 2016 - Springer
We present a general and simple procedure to construct quasi-interpolants in hierarchical
spaces. Such spaces are composed of a hierarchy of nested spaces and provide a flexible …
spaces. Such spaces are composed of a hierarchy of nested spaces and provide a flexible …
Generalized B-splines as a tool in isogeometric analysis
The concept of isogeometric analysis has been proposed in [13], where NURBS are
considered as basis of the analysis, thanks to their ability to construct an exact geometric …
considered as basis of the analysis, thanks to their ability to construct an exact geometric …