Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Luis Ángel Larios-Cárdenas"'
Machine learning algorithms for three-dimensional mean-curvature computation in the level-set method
Publikováno v:
Journal of Computational Physics. 478:111995
We propose a data-driven mean-curvature solver for the level-set method. This work is the natural extension to $\mathbb{R}^3$ of our two-dimensional strategy in [DOI: 10.1007/s10915-022-01952-2][1] and the hybrid inference system of [DOI: 10.1016/j.j
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ab0c2fafa3c14c78950e396f6e2ce82
https://doi.org/10.1016/j.jcp.2023.111995
https://doi.org/10.1016/j.jcp.2023.111995
Publikováno v:
SIAM Journal on Scientific Computing. 43:A1754-A1779
We propose a deep learning strategy to estimate the mean curvature of two-dimensional implicit interfaces in the level-set method. Our approach is based on fitting feed-forward neural networks to synthetic data sets constructed from circular interfac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0136018a863fa7a70d0f6067fd0094b
https://doi.org/10.1137/20m1316755
https://doi.org/10.1137/20m1316755
We present an error-neural-modeling-based strategy for approximating two-dimensional curvature in the level-set method. Our main contribution is a redesigned hybrid solver [Larios-C\'ardenas and Gibou, J. Comput. Phys. (May 2022), 10.1016/j.jcp.2022.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca67cad44831955bc3868db1ca6c929e
We present a machine learning framework that blends image super-resolution technologies with passive, scalar transport in the level-set method. Here, we investigate whether we can compute on-the-fly, data-driven corrections to minimize numerical visc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28822dc1e2772cae8f675de464e89a47
We present a novel hybrid strategy based on machine learning to improve curvature estimation in the level-set method. The proposed inference system couples enhanced neural networks with standard numerical schemes to compute curvature more accurately.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a55fe99d6e3e49f1c983572b00d33191