40 citations · 43 across the 3 of their papers we have counts for
3 papers
math.NA2018★ 1 cited
A 3D DPG Maxwell Approach to Nonlinear Raman Gain in Fiber Laser Amplifiers
S. Nagaraj, J. Grosek, S. Petrides +2
We propose a three dimensional Discontinuous Petrov-Galerkin Maxwell approach for modeling Raman gain in fiber laser amplifiers. In contrast with popular beam propagation models, w…
math.NA2017★ 2 cited
Fast integration of DPG matrices based on tensorization
Jaime Mora, Leszek Demkowicz
Numerical integration of the stiffness matrix in higher order finite element (FE) methods is recognized as one of the heaviest computational tasks in a FE solver. The problem becom…
math.NA2017★ 40 cited
High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations
Ali Vaziri Astaneh, Federico Fuentes, Jaime Mora +1
This work represents the first endeavor in using ultraweak formulations to implement high-order polygonal finite element methods via the discontinuous Petrov-Galerkin (DPG) methodo…