102 citations · 787 across the 61 of their papers we have counts for
8 papers · 1 filter
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…
Sensitivity analysis of random linear dynamical systems using quadratic outputs
Roland Pulch, Akil Narayan
In uncertainty quantification, a stochastic modelling is often applied, where parameters are substituted by random variables. We investigate linear dynamical systems of ordinary di…
Parametric Topology Optimization with Multi-Resolution Finite Element Models
Vahid Keshavarzzadeh, Robert M. Kirby, Akil Narayan
We present a methodical procedure for topology optimization under uncertainty with multi-resolution finite element models. We use our framework in a bi-fidelity setting where a coa…
Generation of Nested Quadrature Rules for Generic Weight Functions via Numerical Optimization: Application to Sparse Grids
Vahid Keshavarzzadeh, Robert M. Kirby, Akil Narayan
We present a numerical framework for computing nested quadrature rules for various weight functions. The well-known Kronrod method extends the Gauss-Legendre quadrature by adding n…
Convergence Acceleration for Time Dependent Parametric Multifidelity Models
Vahid Keshavarzzadeh, Robert M. Kirby, Akil Narayan
We present a numerical method for convergence acceleration for multifidelity models of parameterized ordinary differential equations. The hierarchy of models is defined as trajecto…
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…