Finite element approximation of Maxwell's equations with Debye memory
From MaRDI portal
Publication:541167
DOI10.1155/2010/923832zbMath1221.78049OpenAlexW2032185209WikidataQ58650149 ScholiaQ58650149MaRDI QIDQ541167
Publication date: 6 June 2011
Published in: Advances in Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/224512
Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)
Related Items (6)
An \textit{a priori} error estimate for a temporally discontinuous Galerkin space-time finite element method for linear elasto- and visco-dynamics ⋮ Numerical study of the plasma-Lorentz model in metamaterials ⋮ Finite element approximation for Maxwell's equations with Debye memory under a nonlinear boundary feedback with delay ⋮ Global well-posedness and exponential stability for Maxwell's equations under delayed boundary condition in metamaterials ⋮ Solving metamaterial Maxwell's equations via a vector wave integro-differential equation ⋮ Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Error analysis of finite element methods for 3-D Maxwell's equations in dispersive media
- Error analysis of fully discrete mixed finite element schemes for 3-D Maxwell's equations in dispersive media
- Mixed finite elements in \(\mathbb{R}^3\)
- A finite element method for approximating the time-harmonic Maxwell equations
- The wave hierarchy for propagation in relaxing dielectrics
- Discontinuous Galerkin finite element methods for second order hyperbolic problems
- Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
- Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids
- Analysis of a time-domain finite element method for 3-D Maxwell's equations in dispersive media
- Finite-element method for time-dependent Maxwell's equations based on an explicit-magnetic-field scheme
- Finite-element approximation of non-Fickian polymer diffusion
- Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
- Long-Time Numerical Solution of a Parabolic Equation with Memory
- Error Estimates with Sharp Constants for a Fading Memory Volterra Problem in Linear Solid Viscoelasticity
- Decay rates of solutions to a von Kármán system for viscoelastic plates with memory
- Time-domain finite-element methods
- Finite Element Methods for Maxwell's Equations
- Analysis of finite element approximation for time-dependent Maxwell problems
- Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media
- On the Time Integration of Maxwell's Equations Associated With Debye Relaxation Processes
- Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems
- Optimal long-time \(L_p(0,T)\) stability and semidiscrete error estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem
This page was built for publication: Finite element approximation of Maxwell's equations with Debye memory
