1 citations · 2 across the 6 of their papers we have counts for
6 papers · 1 filter
A method for bounding high-order finite element functions: Applications to mesh validity and bounds-preserving limiters
Tarik Dzanic, Tzanio Kolev, Ketan Mittal
We introduce a novel method for bounding high-order multi-dimensional polynomials in finite element approximations. The method involves precomputing optimal piecewise-linear boundi…
DynAMO: Multi-agent reinforcement learning for dynamic anticipatory mesh optimization with applications to hyperbolic conservation laws
Tarik Dzanic, Ketan Mittal, Dohyun Kim +4
We introduce DynAMO, a reinforcement learning paradigm for Dynamic Anticipatory Mesh Optimization. Adaptive mesh refinement is an effective tool for optimizing computational cost a…
A High-Order Shifted Interface Method for Lagrangian Shock Hydrodynamics
Nabil M. Atallah, Ketan Mittal, Guglielmo Scovazzi +1
We present a new method for two-material Lagrangian hydrodynamics, which combines the Shifted Interface Method (SIM) with a high-order Finite Element Method. Our approach relies on…
Adaptive Surface Fitting and Tangential Relaxation for High-Order Mesh Optimization
Patrick Knupp, Tzanio Kolev, Ketan Mittal +1
We propose a new approach for controlling the characteristics of certain mesh faces during optimization of high-order curved meshes. The practical goals are tangential relaxation a…
Stability analysis of a singlerate and multirate predictor-corrector scheme for overlapping grids
Ketan Mittal, Som Dutta, Paul Fischer
We use matrix stability analysis for a singlerate and multirate predictor-corrector scheme (PC) used to solve the incompressible Navier-Stokes equations (INSE) in overlapping grids…
Simulation-Driven Optimization of High-Order Meshes in ALE Hydrodynamics
Veselin Dobrev, Patrick Knupp, Tzanio Kolev +3
In this paper we propose tools for high-order mesh optimization and demonstrate their benefits in the context of multi-material Arbitrary Lagrangian-Eulerian (ALE) compressible sho…