2 papers
physics.comp-ph2025
Phase-Field/Discontinuity Capturing operator for direct van der Waals simulation (DVS)
Tianyi Hu, Thomas J. R. Hughes, Guglielmo Scovazzi +1
Discontinuity capturing (DC) operators are commonly employed to numerically solve problems involving sharp gradients in the solution. Despite their success, the application of DC o…
math.NA2025
An optimal Petrov-Galerkin framework for operator networks
Philip Charles, Deep Ray, Yue Yu +7
The optimal Petrov-Galerkin formulation to solve partial differential equations (PDEs) recovers the best approximation in a specified finite-dimensional (trial) space with respect…