85 citations · 191 across the 11 of their papers we have counts for
7 papers · 1 filter
PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces
A. F. Sarmiento, A. M. A. Cortes, D. A. Garcia +3
We describe the development of a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, PetIGA-MF i…
A Continuation Multilevel Monte Carlo algorithm
Nathan Collier, Abdul-Lateef Haji-Ali, Fabio Nobile +2
We propose a novel Continuation Multi Level Monte Carlo (CMLMC) algorithm for weak approximation of stochastic models. The CMLMC algorithm solves the given approximation problem fo…
Analysis of the Discontinuous Petrov-Galerkin Method with Optimal Test Functions for the Reissner-Mindlin Plate Bending Model
Victor M. Calo, Nathaniel O. Collier, Antti H. Niemi
We analyze the discontinuous Petrov-Galerkin (DPG) method with optimal test functions when applied to solve the Reissner-Mindlin model of plate bending. We prove that the hybrid va…
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…