Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers

DOI10.1016/j.camwa.2021.01.006OpenAlexW3092671931MaRDI QIDQ2658822

S. Henneking, Jacob Grosek, Leszek F. Demkowicz

Publication date: 24 March 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01185

zbMATH Keywords

scale modelDPG methodfiber amplifieractive gain

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25)

Related Items (4)

Analysis of backward Euler primal DPG methods ⋮ Scalable DPG multigrid solver for Helmholtz problems: a study on convergence ⋮ Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023 ⋮ Hilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022

Uses Software

• MUMPS

Cites Work

• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• 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 time-stepping DPG scheme for the heat equation
• An adaptive DPG method for high frequency time-harmonic wave propagation problems
• Orientation embedded high order shape functions for the exact sequence elements of all shapes
• Simulation of optical fiber amplifier gain using equivalent short fibers
• Fast integration of DPG matrices based on sum factorization for all the energy spaces
• Alternative enriched test spaces in the DPG method for singular perturbation problems
• On perfectly matched layers for discontinuous Petrov-Galerkin methods
• Error-bounds for finite element method
• A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
• Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

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