Mathematical foundations of adaptive isogeometric analysis

A Buffa, G Gantner, C Giannelli, D Praetorius… - … Methods in Engineering, 2022 - Springer
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 …

Shape sensing for thin-shell spaceborne antennas with adaptive isogeometric analysis and inverse finite element method

D Yu, S Wang, W Li, Y Yang, J Hong - Thin-Walled Structures, 2023 - Elsevier
As the preventive maintenance paradigm transfers to condition-based maintenance,
deformation monitoring has become a fundamental system capacity in aerospace …

High-performance bending and buckling analyses of cylindrical shells resting on elastic foundation using isogeometric scaled boundary finite element method

Q Zang, J Liu, W Ye, F Yang, R Pang, G Lin - European Journal of …, 2023 - Elsevier
A novel simulation approach based on the isogeometric analysis (IGA) and scaled boundary
finite element method (SBFEM) is proposed in this paper for bending and buckling analyses …

Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

L Coradello, P Antolin, R Vázquez, A Buffa - Computer Methods in Applied …, 2020 - Elsevier
The focus of this work is on the development of an error-driven isogeometric framework,
capable of automatically performing an adaptive simulation in the context of second-and …

[HTML][HTML] A discontinuous Galerkin formulation for nonlinear analysis of multilayered shells refined theories

G Guarino, A Milazzo - International Journal of Mechanical Sciences, 2023 - Elsevier
A novel pure penalty discontinuous Galerkin method is proposed for the geometrically
nonlinear analysis of multilayered composite plates and shells, modelled via high-order …

A new lighting on analytical discrete sensitivities in the context of isogeometric shape optimization

T Hirschler, R Bouclier, A Duval, T Elguedj… - … Methods in Engineering, 2021 - Springer
Isogeometric shape optimization has been now studied for over a decade. This contribution
aims at compiling the key ingredients within this promising framework, with a particular …

Adaptive analysis-aware defeaturing

A Buffa, O Chanon, R Vázquez - arXiv preprint arXiv:2212.05183, 2022 - arxiv.org
Removing geometrical details from a complex domain is a classical operation in computer
aided design for simulation and manufacturing. This procedure simplifies the meshing …

[HTML][HTML] Adaptive methods with C1 splines for multi-patch surfaces and shells

C Bracco, A Farahat, C Giannelli, M Kapl… - Computer Methods in …, 2024 - Elsevier
We introduce an adaptive isogeometric method for multi-patch surfaces and Kirchhoff–Love
shell structures with hierarchical splines characterized by C 1 continuity across patches. We …

Adaptive isogeometric methods with (truncated) hierarchical splines on planar multi-patch domains

C Bracco, C Giannelli, M Kapl… - Mathematical Models and …, 2023 - World Scientific
Isogeometric analysis is a powerful paradigm which exploits the high smoothness of splines
for the numerical solution of high order partial differential equations. However, the tensor …

Goal-adaptive Meshing of Isogeometric Kirchhoff–Love Shells

HM Verhelst, A Mantzaflaris, M Möller… - Engineering with …, 2024 - Springer
Mesh adaptivity is a technique to provide detail in numerical solutions without the need to
refine the mesh over the whole domain. Mesh adaptivity in isogeometric analysis can be …