- Neural Eikonal solver: Improving accuracy of physics-informed neural networks for solving eikonal equation in case of caustics
2022/11/21 by Serafim Grubas, Serafim I. Grubas, Anton A. Duchkov +3 · 5 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Artificial intelligence #Artificial neural network #Computer science #Differential equation #Eikonal equation #Fast marching method #Mathematical analysis #Mathematical optimization #Mathematics #Model Reduction and Neural Networks #Ordinary differential equation #Physics #Reservoir Engineering and Simulation Methods #Seismic Imaging and Inversion Techniques #Solver
- Comparing the convected level-set and the Allen-Cahn phase-field methods in AMR/C simulations of two-phase flows
2022/02/23 by Malú Grave, Alvaro L. G. A. Coutinho, Grave, Malú +2 · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Adaptive mesh refinement #Algorithm #Allen–Cahn equation #Applied mathematics #Artificial intelligence #Computational science #Computer science #Conservation of mass #FOS: Physical sciences #Fast marching method #Field (mathematics) #Finite element method #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Thin Films #Initialization #Lagrange multiplier #Level set (data structures) #Level set method #Mathematical optimization #Mathematics #Mechanics #Phase (matter) #Physics #Set (abstract data type) #Solidification and crystal growth phenomena #Thermodynamics #physics.flu-dyn
- A fast marching algorithm for the factored eikonal equation
2016/08/13 by Eran Treister, Eldad Haber · 7 citations
Earth and Planetary Sciences · Engineering · Mathematics · #Algorithm #Applied mathematics #Eikonal approximation #Eikonal equation #Electrical and Bioimpedance Tomography #Fast marching method #Flow Measurement and Analysis #Mathematical analysis #Mathematics #Seismic Waves and Analysis
- 3-D traveltime computation using the fast marching method
1999/04/01 by James A. Sethian, A. Mihai Popovici, Alexander Mihai Popovici · 14 citations
Earth and Planetary Sciences · Mathematics · #Algorithm #Computation #Domain (mathematical analysis) #Eikonal equation #Fast marching method #Geological formations and processes #Geometry #Mathematical analysis #Mathematics #Meteorological Phenomena and Simulations #Optics #Physics #Point (geometry) #Seismic Imaging and Inversion Techniques #Wave equation #Wavefront
- Fast Marching Methods
1999/01/01 by James A. Sethian, J. A. Sethian · 54 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algorithm #Applied mathematics #Computational Geometry and Mesh Generation #Computational geometry #Computer Graphics and Visualization Techniques #Computer science #Computer vision #Eikonal equation #Fast marching method #Geodesic #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Smoothing #Visibility
- Computing geodesic paths on manifolds
1998/07/21 by Ron Kimmel, James A. Sethian · 5 citations
Computer Science · Engineering · Mathematics · #Computational Geometry and Mesh Generation #Data Management and Algorithms #Human Motion and Animation #Fast marching method #Geodesic #Eikonal equation #Grid #Marching cubes #Computer science #Mathematics #Polygon mesh #Algorithm #Geometry #Mathematical analysis #Visualization #Artificial intelligence