Exact boundary controllability of the second-order Maxwell system: theory and numerical simulation
DOI10.1016/J.CAMWA.2011.12.046zbMath1247.93002OpenAlexW2047235519MaRDI QIDQ453853
Stéphanie Lohrengel, Marion Darbas, Olivier Goubet
Publication date: 30 September 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.046
finite elementsexact boundary controllabilityH.U.M.second order Maxwell systemtwo-grid preconditioned conjugate gradient algorithm
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of a two-grid algorithm for the control of the wave equation
- Semigroups of linear operators and applications to partial differential equations
- Mixed finite elements in \(\mathbb{R}^3\)
- A coercive bilinear form for Maxwell's equations
- Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation
- An analysis of a mixed finite element method for the Navier-Stokes equations
- The linearization principle and invariant manifolds for problems of magnetohydrodynamics
- Identification of small amplitude perturbations in the electromagnetic parameters from partial dynamic boundary measurements.
- Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The singular complement method.
- Singularities of electromagnetic fields in polyhedral domains
- Time-dependent Maxwell's equations with charges in singular geometries
- A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
- Exact Boundary Controllability of Maxwell’s Equations in a General Region
- A local compactness theorem for Maxwell's equations
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Geometrical aspects of exact boundary controllability for the wave equation - a numerical study
- A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
- Boundary observability for the space semi-discretizations of the 1 – d wave equation
- Exact Boundary Controllability of Maxwell's Equations in Heterogeneous Media and an Application to an Inverse Source Problem
- Finite Element Methods for Maxwell's Equations
- Contrôle et stabilisation d'ondes électromagnétiques
- Numerical approximation of the boundary control for the wave equation with mixed finite elements in a square
This page was built for publication: Exact boundary controllability of the second-order Maxwell system: theory and numerical simulation
