Computational Homogenization of Time-Harmonic Maxwell's Equations
From MaRDI portal
Publication:5112561
DOI10.1137/19M1293818zbMath1440.35320arXiv1910.07390OpenAlexW3025479587MaRDI QIDQ5112561
No author found.
Publication date: 29 May 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.07390
finite element methodMaxwell's equationsmultiscalea priori analysislocalized orthogonal decomposition
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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Homogenization in optics and electromagnetic theory (78M40) Maxwell equations (35Q61)
Related Items
Computational Lower Bounds of the Maxwell Eigenvalues, Numerical homogenization beyond scale separation, Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients, Multiscale scattering in nonlinear Kerr-type media, The Heterogeneous Multiscale Method for Dispersive Maxwell Systems, Numerical multiscale methods for waves in high-contrast media, On Optimal Convergence Rates for Discrete Minimizers of the Gross–Pitaevskii Energy in Localized Orthogonal Decomposition Spaces, Superconvergence of time invariants for the Gross–Pitaevskii equation
Uses Software
Cites Work
- Finite-element heterogeneous multiscale method for the Helmholtz equation
- Resonance meets homogenization. Construction of meta-materials with astonishing properties
- Automated solution of differential equations by the finite element method. The FEniCS book
- Multiscale mixed finite elements
- Effective Maxwell's equations for perfectly conducting split ring resonators
- Multiscale techniques for parabolic equations
- Finite element heterogeneous multiscale method for time-dependent Maxwell's equations
- Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains
- A multiscale method for linear elasticity reducing Poisson locking
- On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell's equations
- Convergence and quasi-optimality of adaptive finite element methods for harmonic forms
- Error-bounds for finite element method
- Localized Orthogonal Decomposition Techniques for Boundary Value Problems
- Localized orthogonal decomposition method for the wave equation with a continuum of scales
- Variational Multiscale Stabilization and the Exponential Decay of Fine-Scale Correctors
- Generalized finite element methods for quadratic eigenvalue problems
- Eliminating the pollution effect in Helmholtz problems by local subscale correction
- Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials
- A Negative Index Meta-Material for Maxwell's Equations
- Localization of elliptic multiscale problems
- Local bounded cochain projections
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
- Finite element exterior calculus: from Hodge theory to numerical stability
- Singularities of Maxwell interface problems
- Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations
- Numerical Homogenization of H(curl)-Problems
- Multiscale Differential Riccati Equations for Linear Quadratic Regulator Problems
- Finite Element Methods for Maxwell's Equations
- A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast
- Heterogeneous Multiscale Method for Maxwell's Equations
- Heterogeneous Multiscale Method for the Maxwell equations with high contrast
- Double complexes and local cochain projections
- Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
- A generalized finite element method for linear thermoelasticity
- A posteriori error estimates for Maxwell equations
- A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations
- Existence, uniqueness and finite element approximation of the solution of time‐harmonic electromagnetic boundary value problems involving metamaterials
