An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff–Love shell patches

G Guarino, P Antolin, A Milazzo, A Buffa - Engineering With Computers, 2024‏ - Springer
This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis,
based on higher continuity splines that seamlessly meet the C 1 requirement of Kirchhoff …

Vanquishing volumetric locking in quadratic NURBS-based discretizations of nearly-incompressible linear elasticity: CAS elements

H Casquero, M Golestanian - Computational Mechanics, 2024‏ - Springer
Quadratic NURBS-based discretizations of the Galerkin method suffer from volumetric
locking when applied to nearly-incompressible linear elasticity. Volumetric locking causes …

Nonlinear elasticity with the shifted boundary method

NM Atallah, G Scovazzi - Computer Methods in Applied Mechanics and …, 2024‏ - Elsevier
We propose a new unfitted/immersed computational framework for nonlinear solid
mechanics, which bypasses the complexities associated with the generation of CAD …

High order unfitted finite element discretizations for explicit boundary representations

PA Martorell, S Badia - Journal of Computational Physics, 2024‏ - Elsevier
When modeling scientific and industrial problems, geometries are typically modeled by
explicit boundary representations obtained from computer-aided design software. Unfitted …

Spectrum analysis of , , and constructions for extraordinary points

MS Faruque, Z Wen, X Wei, H Casquero - Engineering with Computers, 2024‏ - Springer
G-splines are smooth spline surface representations that support control nets with arbitrary
unstructured quadrilateral layout. Supporting any distribution of extraordinary points (EPs) is …

A new approach to handle curved meshes in the hybrid high-order method

L Yemm - Foundations of Computational Mathematics, 2024‏ - Springer
We present here a novel approach to handling curved meshes in polytopal methods within
the framework of hybrid high-order methods. The hybrid high-order method is a modern …

Stabilized isogeometric formulation of the Stokes problem on overlap** patches

X Wei, R Puppi, P Antolin, A Buffa - Computer Methods in Applied …, 2023‏ - Elsevier
We present a novel stabilized isogeometric formulation for the Stokes problem, where the
geometry of interest is obtained via overlap** NURBS (non-uniform rational B-spline) …

High-order numerical integration on domains bounded by intersecting level sets

L Beck, F Kummer - arxiv preprint arxiv:2308.10698, 2023‏ - arxiv.org
We present a high-order method that provides numerical integration on volumes, surfaces,
and lines defined implicitly by two smooth intersecting level sets. To approximate the …

[HTML][HTML] A localized reduced basis approach for unfitted domain methods on parameterized geometries

M Chasapi, P Antolin, A Buffa - Computer Methods in Applied Mechanics …, 2023‏ - Elsevier
This work introduces a reduced order modeling (ROM) framework for the solution of
parameterized second-order linear elliptic partial differential equations formulated on …

Analysis‐aware defeaturing of complex geometries with Neumann features

P Antolín, O Chanon - International Journal for Numerical …, 2024‏ - Wiley Online Library
Local modifications of a computational domain are often performed in order to simplify the
meshing process and to reduce computational costs and memory requirements. However …