198 citations · 773 across the 33 of their papers we have counts for
4 papers · 2 filters
Complexity of hierarchical refinement for a class of admissible mesh configurations
Annalisa Buffa, Carlotta Giannelli, Philipp Morgenstern +1
An adaptive isogeometric method based on -variate hierarchical spline constructions can be derived by considering a refine module that preserves a certain class of admissibility…
New refinable spaces and local approximation estimates for hierarchical splines
Annalisa Buffa, Eduardo M. Garau
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 Influence of Quadrature Errors on Isogeometric Mortar Methods
Ericka Brivadis, Annalisa Buffa, Barbara Wohlmuth +1
Mortar methods have recently been shown to be well suited for isogeometric analysis. We review the recent mathematical analysis and then investigate the variational crime introduce…
Adaptive isogeometric methods with hierarchical splines: error estimator and convergence
Annalisa Buffa, Carlotta Giannelli
The problem of developing an adaptive isogeometric method (AIGM) for solving elliptic second-order partial differential equations with truncated hierarchical B-splines of arbitrary…