Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout

Z Wen, MS Faruque, X Li, X Wei, H Casquero - Computer Methods in …, 2023 - Elsevier
G-splines are a generalization of B-splines that deals with extraordinary points by imposing
G 1 constraints across their spoke edges, thus obtaining a continuous tangent plane …

An isogeometric design-analysis-optimization workflow of stiffened thin-walled structures via multilevel NURBS-based free-form deformations (MNFFD)

P Hao, Y Wang, L Jin, S Ma, B Wang - Computer Methods in Applied …, 2023 - Elsevier
Stiffened thin-walled structures are widely used in various fields as load-carrying
components, but the process of design, analysis and optimization still remains challenging …

[HTML][HTML] Almost-C1 splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems

T Takacs, D Toshniwal - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Isogeometric Analysis generalizes classical finite element analysis and intends to integrate it
with the field of Computer-Aided Design. A central problem in achieving this objective is the …

[HTML][HTML] Fully probabilistic deep models for forward and inverse problems in parametric PDEs

A Vadeboncoeur, ÖD Akyildiz, I Kazlauskaite… - Journal of …, 2023 - Elsevier
We introduce a physics-driven deep latent variable model (PDDLVM) to learn
simultaneously parameter-to-solution (forward) and solution-to-parameter (inverse) maps of …

Digital twinning of self-sensing structures using the statistical finite element method

E Febrianto, L Butler, M Girolami, F Cirak - Data-Centric Engineering, 2022 - cambridge.org
The monitoring of infrastructure assets using sensor networks is becoming increasingly
prevalent. A digital twin in the form of a finite element (FE) model, as commonly used in …

Feature-aware reconstruction of trimmed splines using Ricci flow with metric optimization

KM Shepherd, XD Gu, TJR Hughes - Computer Methods in Applied …, 2022 - Elsevier
The lack of a compelling tool to automatically or semi-automatically create analysis-suitable
spline spaces hampers the progress of the isogeometric framework. In this work, we review …

Smooth multi-patch discretizations in isogeometric analysis

TJR Hughes, G Sangalli, T Takacs… - Handbook of Numerical …, 2021 - Elsevier
With the aim of a seamless integration with Computer-Aided Design, Isogeometric Analysis
has been proposed by Hughes et al.(2005) as a numerical technique for the solution of …

G1–Smooth biquintic approximation of Catmull-Clark subdivision surfaces

M Marsala, A Mantzaflaris, B Mourrain - Computer Aided Geometric Design, 2022 - Elsevier
In this paper a construction of a globally G 1 family of Bézier surfaces, defined by smoothing
masks approximating the well-known Catmull-Clark (CC) subdivision surface is presented …

[HTML][HTML] A comparison of smooth basis constructions for isogeometric analysis

HM Verhelst, P Weinmüller, A Mantzaflaris… - Computer Methods in …, 2024 - Elsevier
In order to perform isogeometric analysis with increased smoothness on complex domains,
trimming, variational coupling or unstructured spline methods can be used. The latter two …

Subdivision surfaces—boundary element accelerated by fast multipole for the structural acoustic problem

L Chen, C Lu, W Zhao, H Chen… - Journal of Theoretical and …, 2020 - World Scientific
A novel boundary element method based on subdivision surfaces is applied to simulate
wave scattering problems governed by the Helmholtz equation. The Loop subdivision …