A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers
DOI10.1016/j.jcpx.2019.100002arXiv1805.12240OpenAlexW2962839101WikidataQ128296421 ScholiaQ128296421MaRDI QIDQ6186180
Socratis Petrides, Leszek F. Demkowicz, Sriram Nagaraj, Jacob Grosek, Jaime Mora
Publication date: 9 January 2024
Published in: Journal of Computational Physics: X (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.12240
discontinuous Petrov-Galerkin methodhigher order finite element methodsRaman gainnonlinear optical fiber laser amplifier
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Cites Work
- Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems
- Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation
- Breaking spaces and forms for the DPG method and applications including Maxwell equations
- A full vectorial generalized discontinuous Galerkin beam propagation method (GDG-BPM) for nonsmooth electromagnetic fields in waveguides
- A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions
- A perfectly matched layer for the absorption of electromagnetic waves
- A DPG method for steady viscous compressible flow
- Construction of DPG Fortin operators for second order problems
- An adaptive DPG method for high frequency time-harmonic wave propagation problems
- A geometric multigrid preconditioning strategy for DPG system matrices
- Coupled variational formulations of linear elasticity and the DPG methodology
- Parametric finite elements, exact sequences and perfectly matched layers
- Orientation embedded high order shape functions for the exact sequence elements of all shapes
- The DPG methodology applied to different variational formulations of linear elasticity
- Using a DPG method to validate DMA experimental calibration of viscoelastic materials
- Discrete least-squares finite element methods
- High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations
- Error-bounds for finite element method
- Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems
- Degree and Wavenumber [Independence of Schwarz Preconditioner for the DPG Method]
- An analysis of the practical DPG method
- Robust DPG Methods for Transient Convection-Diffusion
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- Analysis of the DPG Method for the Poisson Equation
- Improving the performance of perfectly matched layers by means of hp‐adaptivity
- Mixed and Hybrid Finite Element Methods
- A Scalable Preconditioner for a Primal Discontinuous Petrov--Galerkin Method
- Adaptive Petrov--Galerkin Methods for First Order Transport Equations
- A Spacetime DPG Method for the Schrödinger Equation
- A Posteriori Error Control for DPG Methods
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- An Overview of the Discontinuous Petrov Galerkin Method
This page was built for publication: A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers
