85 citations · 191 across the 11 of their papers we have counts for
5 papers · 1 filter
On the Shape Optimization of Flapping Wings and their Performance Analysis
Mehdi Ghommem, Nathan Collier, Antti H. Niemi +1
The present work is concerned with the shape optimization of flapping wings in forward flight. The analysis is performed by combining a gradient-based optimizer with the unsteady v…
The cost of continuity: performance of iterative solvers on isogeometric finite elements
Nathan Collier, Lisandro Dalcin, David Pardo +1
In this paper we study how the use of a more continuous set of basis functions affects the cost of solving systems of linear equations resulting from a discretized Galerkin weak fo…
Computational complexity and memory usage for multi-frontal direct solvers in structured mesh finite elements
Nathan Collier, David Pardo, Maciej Paszynski +1
The multi-frontal direct solver is the state-of-the-art algorithm for the direct solution of sparse linear systems. This paper provides computational complexity and memory usage es…
Gradient-based estimation of Manning's friction coefficient from noisy data
Victor M. Calo, Nathan Collier, Matthias Gehre +2
We study the numerical recovery of Manning's roughness coefficient for the diffusive wave approximation of the shallow water equation. We describe a conjugate gradient method for t…
Automatically Stable Discontinuous Petrov-Galerkin Methods for Stationary Transport Problems: Quasi-Optimal Test Space Norm
Antti H. Niemi, Nathaniel O. Collier, Victor M. Calo
We investigate the application of the discontinuous Petrov-Galerkin (DPG) finite element framework to stationary convection-diffusion problems. In particular, we demonstrate how th…