TPNet: A novel mesh analysis method via topology preservation and perception enhancement

P Li, F He, B Fan, Y Song - Computer Aided Geometric Design, 2023 - Elsevier
Abstract 3D polygon mesh is an important and popular representation of 3D shapes in the
field of computer graphics and computer-aided design. Recent works have introduced deep …

Adaptively sampled distance functions: A unifying digital twin representation for advanced manufacturing

S Pratt, T Kosmal, C Williams - Robotics and Computer-Integrated …, 2025 - Elsevier
Digital twin tools for additive manufacturing (AM) are constrained by the underlying
representations of component geometry that are currently in wide use. Mesh, voxel, and …

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 …

High-performance finite elements with MFEM

J Andrej, N Atallah, JP Bäcker… - … Journal of High …, 2024 - journals.sagepub.com
The MFEM (Modular Finite Element Methods) library is a high-performance C++ library for
finite element discretizations. MFEM supports numerous types of finite element methods and …

A parallel domain decomposition method for solving elliptic equations on manifolds

L Qin, F Wang, Y Wang - arXiv preprint arXiv:2402.00364, 2024 - arxiv.org
We propose a new numerical domain decomposition method for solving elliptic equations
on compact Riemannian manifolds. One advantage of this method is its ability to bypass the …

[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 …