28 citations · 39 across the 10 of their papers we have counts for
5 papers · 1 filter
Kernel optimization for Low-Rank Multi-Fidelity Algorithms
Mani Razi, Robert M. Kirby, Akil Narayan
One of the major challenges for low-rank multi-fidelity (MF) approaches is the assumption that low-fidelity (LF) and high-fidelity (HF) models admit "similar" low-rank kernel repre…
Structure-preserving function approximation via convex optimization
Vidhi Zala, Robert M. Kirby, Akil Narayan
Approximations of functions with finite data often do not respect certain "structural" properties of the functions. For example, if a given function is non-negative, a polynomial a…
Allocation strategies for high fidelity models in the multifidelity regime
Daniel J. Perry, Robert M. Kirby, Akil Narayan +1
We propose a novel approach to allocating resources for expensive simulations of high fidelity models when used in a multifidelity framework. Allocation decisions that distribute c…
RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for Solving PDEs on Surfaces
Varun Shankar, Akil Narayan, Robert M. Kirby
We present a new method for the solution of PDEs on manifolds of co-dimension one using stable scale-free radial basis function (RBF) interpolatio…
A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method
Varun Shankar, Grady B. Wright, Aaron L. Fogelson +1
The Immersed Boundary (IB) method is a widely-used numerical methodology for the simulation of fluid-structure interaction problems. The IB method utilizes an Eulerian discretizati…