7 citations · 17 across the 5 of their papers we have counts for
3 papers · 1 filter
Conditionally Parameterized, Discretization-Aware Neural Networks for Mesh-Based Modeling of Physical Systems
Jiayang Xu, Aniruddhe Pradhan, Karthik Duraisamy
Simulations of complex physical systems are typically realized by discretizing partial differential equations (PDEs) on unstructured meshes. While neural networks have recently bee…
Arbitrary Order Solutions for the Eikonal Equation using a Discontinuous Galerkin Method
David Flad, Aniruddhe Pradhan, Scott Murman
We provide a method to compute the entropy-satisfying weak solution to the eikonal equation in an arbitrary-order polynomial space. The method uses an artificial viscosity approach…
Variational Multi-scale Super-resolution : A data-driven approach for reconstruction and predictive modeling of unresolved physics
Aniruddhe Pradhan, Karthik Duraisamy
The variational multiscale (VMS) formulation formally segregates the evolution of the coarse-scales from the fine-scales. VMS modeling requires the approximation of the impact of t…