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 topology optimization using PHT splines
This paper presents a novel adaptive isogeometric topology optimization methodology using
the Geometry Independent Field approximaTion (GIFT) framework for Polynomial splines …
the Geometry Independent Field approximaTion (GIFT) framework for Polynomial splines …
Bézier extraction and adaptive refinement of truncated hierarchical NURBS
This contribution presents Bézier extraction of truncated hierarchical B-splines and the
application of the approach to adaptive isogeometric analysis. The developed procedures …
application of the approach to adaptive isogeometric analysis. The developed procedures …
Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes
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 …
[HTML][HTML] A framework for efficient isogeometric computations of phase-field brittle fracture in multipatch shell structures
We present a computational framework for applying the phase-field approach to brittle
fracture efficiently to complex shell structures. The momentum and phase-field equations are …
fracture efficiently to complex shell structures. The momentum and phase-field equations are …
[HTML][HTML] Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis
In this article, we address adaptive methods for isogeometric analysis based on local
refinement guided by recovery based a posteriori error estimates. Isogeometric analysis was …
refinement guided by recovery based a posteriori error estimates. Isogeometric analysis was …
Adaptive isogeometric analysis based on locally refined Tchebycheffian B-splines
We introduce locally refined (LR) Tchebycheffian B-splines as a generalization of LR B-
splines from the algebraic polynomial setting to the broad Tchebycheffian setting. We focus …
splines from the algebraic polynomial setting to the broad Tchebycheffian setting. We focus …
Adaptive multi-patch isogeometric analysis based on locally refined B-splines
We present an effective adaptive analysis procedure in terms of isogeometric analysis (IGA)
based on locally refined (LR) B-splines for two-dimensional elasticity problems. One major …
based on locally refined (LR) B-splines for two-dimensional elasticity problems. One major …