Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods
DOI10.1051/m2an/2016006zbMath1355.35177OpenAlexW2324675777MaRDI QIDQ2953001
Kristin Kirchner, Karsten Urban, Oliver Zeeb
Publication date: 30 December 2016
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2016006
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Asymptotic analysis in optics and electromagnetic theory (78M35) Variational methods applied to problems in optics and electromagnetic theory (78M30) Maxwell equations (35Q61)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- The reduced basis method for the electric field integral equation
- Optimal penalty parameters for symmetric discontinuous Galerkin discretisations of the time-harmonic Maxwell equations
- A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems
- A reduced basis method for electromagnetic scattering by multiple particles in three dimensions
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- On the constants in \(hp\)-finite element trace inverse inequalities.
- Interior penalty method for the indefinite time-harmonic Maxwell equations
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
- Reduced Basis Method for Parametrized Elliptic Optimal Control Problems
- Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition
- Certified Reduced Basis Method for the Electric Field Integral Equation
- Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
- Accelerated A Posteriori Error Estimation for the Reduced Basis Method with Application to 3D Electromagnetic Scattering Problems
- Convergence Rates for Greedy Algorithms in Reduced Basis Methods
- Improved successive constraint method baseda posteriorierror estimate for reduced basis approximation of 2D Maxwell's problem
- Finite Element Methods for Navier-Stokes Equations
- A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
- An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
- Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
- An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
- Anhpcertified reduced basis method for parametrized parabolic partial differential equations
This page was built for publication: Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods