Hex-mesh generation and processing: a survey

N Pietroni, M Campen, A Sheffer, G Cherchi… - ACM transactions on …, 2022 - dl.acm.org
In this article, we provide a detailed survey of techniques for hexahedral mesh generation.
We cover the whole spectrum of alternative approaches to mesh generation, as well as post …

Robust untangling of curvilinear meshes

T Toulorge, C Geuzaine, JF Remacle… - Journal of Computational …, 2013 - Elsevier
This paper presents a technique that allows to untangle high-order/curvilinear meshes. The
technique makes use of unconstrained optimization where element Jacobians are …

Bounded distortion map** spaces for triangular meshes

Y Lipman - ACM Transactions on Graphics (TOG), 2012 - dl.acm.org
The problem of map** triangular meshes into the plane is fundamental in geometric
modeling, where planar deformations and surface parameterizations are two prominent …

The generation of arbitrary order curved meshes for 3D finite element analysis

ZQ **e, R Sevilla, O Hassan, K Morgan - Computational Mechanics, 2013 - Springer
A procedure for generating curved meshes, suitable for high-order finite element analysis, is
described. The strategy adopted is based upon curving a generated initial mesh with planar …

3d Bézier guarding: boundary-conforming curved tetrahedral meshing

P Khanteimouri, M Campen - ACM Transactions on Graphics (TOG), 2023 - dl.acm.org
We present a method for the generation of higher-order tetrahedral meshes. In contrast to
previous methods, the curved tetrahedral elements are guaranteed to be free of …

Higher order Bernstein–Bézier and Nédélec finite elements for the relaxed micromorphic model

A Sky, I Muench, G Rizzi, P Neff - Journal of Computational and Applied …, 2024 - Elsevier
The relaxed micromorphic model is a generalized continuum model that is well-posed in the
space X=[H 1] 3×[H (curl)] 3. Consequently, finite element formulations of the model rely on …

Isogeometric analysis on V-reps: first results

P Antolin, A Buffa, M Martinelli - Computer Methods in Applied Mechanics …, 2019 - Elsevier
Inspired by the introduction of Volumetric Modeling via volumetric representations (V-reps)
by Massarwi and Elber in 2016, in this paper we present a novel approach for the …

The target-matrix optimization paradigm for high-order meshes

V Dobrev, P Knupp, T Kolev, K Mittal, V Tomov - SIAM Journal on Scientific …, 2019 - SIAM
We describe a framework for controlling and improving the quality of high-order finite
element meshes based on extensions of the Target-Matrix Optimization Paradigm (TMOP) of …

Optimization of a regularized distortion measure to generate curved high‐order unstructured tetrahedral meshes

A Gargallo‐Peiró, X Roca, J Peraire… - … Journal for Numerical …, 2015 - Wiley Online Library
We present a robust method for generating high‐order nodal tetrahedral curved meshes.
The approach consists of modifying an initial linear mesh by first, introducing high‐order …

Thermal cycling performance of GYbZ/YSZ thermal barrier coatings with different microstructures based on finite element simulation

C Jiang, W Hao, C Liu, D Shi, W Song - Journal of Alloys and Compounds, 2025 - Elsevier
Abstract Three (Gd 0.9 Yb 0.1) 2 Zr 2 O 7/YSZ double ceramic layer (DCL) thermal barrier
coatings (TBCs) with different microstructures were manufactured by electron-beam physical …