Simultaneous boundary and interior parameterization of planar domains via deep learning

Z Zhan, W Wang, F Chen - Computer-Aided Design, 2024 - Elsevier
In isogeometric analysis (IGA), domain parameterization plays a crucial role as it
significantly impacts the results of subsequent numerical analyses. Previous literature has …

Compressible non-Newtonian fluid based road traffic flow equation solved by physical-informed rational neural network

Z Yang, D Li, W Nai, L Liu, J Sun, X Lv - IEEE Access, 2024 - ieeexplore.ieee.org
The study of road traffic flow theory utilizes physics and applied mathematics to analyze
relevant parameters and their relationships quanlitatively and quantitatively, in order to …

[HTML][HTML] Adaptive optimization of isogeometric multi-patch discretizations using artificial neural networks

D Rios, F Scholz, T Takacs - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
In isogeometric analysis, isogeometric function spaces are employed for accurately
representing the solution to a partial differential equation (PDE) on a parameterized domain …

Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network

Z Zhan, W Wang, F Chen - Computer Aided Geometric Design, 2024 - Elsevier
One prominent step in isogeometric analysis (IGA) is known as domain parameterization,
that is, finding a parametric spline representation for a computational domain. Typically …