A Controllability Method for Maxwell's Equations
DOI10.1137/21M1424445zbMath1504.65250arXiv2106.02858OpenAlexW4310886344MaRDI QIDQ5058292
Jet Hoe Tang, T. Chaumont-Frelet, Marcus J. Grote, Stéphane Lanteri
Publication date: 20 December 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.02858
Numerical optimization and variational techniques (65K10) Controllability (93B05) PDEs in connection with optics and electromagnetic theory (35Q60) Periodic solutions to PDEs (35B10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell's equation
- A sweeping preconditioner for time-harmonic Maxwell's equations with finite elements
- Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed?
- Controllability method for acoustic scattering with spectral elements
- Interior penalty discontinuous Galerkin method for Maxwell's equations: energy norm error estimates
- Semigroups of linear operators and applications to partial differential equations
- Controllability methods for the computation of time-periodic solutions; application to scattering
- Multifrontal parallel distributed symmetric and unsymmetric solvers
- Mathematical foundations of computational electromagnetism
- The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- On controllability methods for the Helmholtz equation
- Parallel controllability methods for the Helmholtz equation
- Controllability method for the Helmholtz equation with higher-order discretizations
- STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONS
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
- Efficient Time Integration of Maxwell's Equations with Generalized Finite Differences
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Finite Element Methods for Navier-Stokes Equations
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
- Acoustic transmission problems: Wavenumber-explicit bounds and resonance-free regions
- Finite Element Methods for Maxwell's Equations
- Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems
- WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation
- SOLUTION OF TIME-PERIODIC WAVE EQUATION USING MIXED FINITE ELEMENTS AND CONTROLLABILITY TECHNIQUES
- Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption
- Inverse Acoustic and Electromagnetic Scattering Theory
- Runge--Kutta-Based Explicit Local Time-Stepping Methods for Wave Propagation
- Improving Multifrontal Methods by Means of Block Low-Rank Representations
- The limiting amplitude principle
- Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
This page was built for publication: A Controllability Method for Maxwell's Equations