5 citations · 6 across the 2 of their papers we have counts for
3 papers
cs.LG2021★ 5 cited
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…
math.NA2021★ 1 cited
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…
physics.comp-ph2019
Variational Multiscale Closures for Finite Element Discretizations Using the Mori-Zwanzig Approach
Aniruddhe Pradhan, Karthik Duraisamy
Simulation of multiscale problems remains a challenge due to the disparate range of spatial and temporal scales and the complex interaction between the resolved and unresolved scal…