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A new perspective on hierarchical spline spaces for adaptivity
(Pergamon-Elsevier Science Ltd, 2020-04)
We introduce a framework for spline spaces of hierarchical type, based on a parent–children relation, which is very convenient for the analysis as well as the implementation of adaptive isogeometric methods. This framework ...
Refinable spaces and local approximation estimates for hierarchical splines
(Oxford University Press, 2017-07)
We study the local approximation properties in hierarchical spline spaces through multiscale quasi-interpolation operators. This construction suggests the analysis of a subspace of the classical hierarchical spline space ...
A Posteriori Error Estimators for Hierarchical B-Spline Discretizations
(World Scientific, 2018-07)
In this paper we develop function-based a posteriori error estimators for the solution of linear second order elliptic problems considering hierarchical spline spaces for the Galerkin discretization. We obtain a global ...
Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
(Elsevier Science, 2018-01)
In this article we introduce all the ingredients to develop adaptive isogeometric methods based on hierarchical B-splines. In particular, we give precise definitions of local refinement and coarsening that, unlike previously ...
A Hierarchical Model for Aggregated Functional Data
(Amer Statistical AssocAlexandriaEUA, 2013)
Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff-Love plates
(Elsevier, 2020)
In this work, we present an eXtended Geometry Independent Field approximaTion (X-GIFT) formulation for cracked Kirchhoff-Love plates. The plate geometry is modeled by Non-Uniform Rational B-Splines (NURBS) while the solution ...