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 …

Combining high-order metric interpolation and geometry implicitization for curved r-adaption

G Aparicio-Estrems, A Gargallo-Peiró, X Roca - Computer-Aided Design, 2023 - Elsevier
We detail how to use Newton's method for distortion-based curved r-adaption to a discrete
high-order metric field while matching a target geometry. Specifically, we combine two terms …

Mixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit Geometries

K Mittal, VA Dobrev, P Knupp, T Kolev, F Ledoux… - Proceedings of the 2024 …, 2024 - SIAM
Computational analysis with the finite element method requires geometrically accurate
meshes. It is well known that high-order meshes can accurately capture curved surfaces with …

A globalized and preconditioned Newton-CG solver for metric-aware curved high-order mesh optimization

G Aparicio-Estrems, A Gargallo-Peiró, X Roca - Computer-Aided Design, 2024 - Elsevier
We present a specific-purpose globalized and preconditioned Newton-CG solver to
minimize a metric-aware curved high-order mesh distortion. The solver is specially devised …

[PDF][PDF] Mixed-Order Meshing using rp-adaptivity for Surface Alignment with Implicit Geometries

K Mittal, V Dobrev, P Knupp, T Kolev, F Ledoux… - 2023 - osti.gov
Computational analysis with the finite element method requires geometrically accurate
meshes. It is well known that high-order meshes can accurately capture curved surfaces with …

[PDF][PDF] Development of an Automated Mesh Smoother for High-Order Meshes

V Dobrev, P Knupp, T Kolev, K Mittal, V Tomov - 2023 - osti.gov
This research note presents an algorithm that takes an input mesh and constructs a finite
element function, on an automatically defined background mesh, whose zero level set …

[PDF][PDF] TOWARDS AN AUTOMATED MESH SMOOTHER FOR HIGH-ORDER MESHES: REPRESENTING THE BOUNDARY BY A LEVEL SET FUNCTION

V Dobrev, P Knupp, T Kolev, K Mittal, VZ Tomov - internationalmeshingroundtable.com
This research note presents an algorithm that takes an input mesh and constructs a finite
element function, on an automatically defined background mesh, whose zero level set …

[引用][C] OPTIMIZATION, ADAPTIVITY, AND SURFACE FITTING OF HIGH-ORDER MESHES