Mathematical foundations of adaptive isogeometric analysis
This paper reviews the state of the art and discusses recent developments in the field of
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …
THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
Local refinement with hierarchical B-spline structures is an active topic of research in the
context of geometric modeling and isogeometric analysis. By exploiting a multilevel control …
context of geometric modeling and isogeometric analysis. By exploiting a multilevel control …
Adaptive isogeometric methods with hierarchical splines: an overview
We consider an adaptive isogeometric method (AIGM) based on (truncated) hierarchical B-
splines and present the study of its numerical properties. By following [10, 12, 11], optimal …
splines and present the study of its numerical properties. By following [10, 12, 11], optimal …
Adaptive isogeometric methods with hierarchical splines: error estimator and convergence
A Buffa, C Giannelli - Mathematical Models and Methods in Applied …, 2016 - World Scientific
The problem of developing an adaptive isogeometric method (AIGM) for solving elliptic
second-order partial differential equations with truncated hierarchical B-splines of arbitrary …
second-order partial differential equations with truncated hierarchical B-splines of arbitrary …
Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes
C Anitescu, MN Hossain, T Rabczuk - Computer Methods in Applied …, 2018 - Elsevier
An adaptive higher-order method based on a generalization of polynomial/rational splines
over hierarchical T-meshes (PHT/RHT-splines) is introduced. While most problems …
over hierarchical T-meshes (PHT/RHT-splines) is introduced. While most problems …
Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes
In the present work we introduce a complete set of algorithms to efficiently perform adaptive
refinement and coarsening by exploiting truncated hierarchical B-splines (THB-splines) …
refinement and coarsening by exploiting truncated hierarchical B-splines (THB-splines) …
Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates
A Buffa, C Giannelli - Mathematical Models and Methods in Applied …, 2017 - World Scientific
We consider an adaptive isogeometric method (AIGM) based on (truncated) hierarchical B-
splines and continue the study of its numerical properties. We prove that our AIGM is optimal …
splines and continue the study of its numerical properties. We prove that our AIGM is optimal …
Vibration and buckling analysis of agglomerated CNT composite plates via isogeometric analysis using non-polynomial shear deformation theory
The present study employs the non-polynomial shear deformation theory within the
framework of isogeometric analysis to study the vibration and buckling behavior of carbon …
framework of isogeometric analysis to study the vibration and buckling behavior of carbon …
G1 spline functions for point cloud fitting
In this work we present a new construction of basis functions that generate the space of
geometrically smooth splines on an unstructured quadrilateral mesh. The basis is …
geometrically smooth splines on an unstructured quadrilateral mesh. The basis is …
Kirchhoff–Love shell representation and analysis using triangle configuration b-splines
This paper presents the application of triangle configuration B-splines (TCB-splines) for
representing and analyzing the Kirchhoff–Love shell in the context of isogeometric analysis …
representing and analyzing the Kirchhoff–Love shell in the context of isogeometric analysis …