Heterogeneous Multiscale Method for the Maxwell equations with high contrast (Q5226420)

scientific article; zbMATH DE number 7087734

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English	Heterogeneous Multiscale Method for the Maxwell equations with high contrast	scientific article; zbMATH DE number 7087734

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instance of

scholarly article

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title

Heterogeneous Multiscale Method for the Maxwell equations with high contrast (English)

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author

Barbara Verfürth

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published in

ESAIM: Mathematical Modelling and Numerical Analysis

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publication date

31 July 2019

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full work available at URL

https://arxiv.org/abs/1710.09609

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zbMATH Keywords

multiscale method

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finite elements

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homogenization

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two-scale equation

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Maxwell equations

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describes a project that uses

DUNE

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MaRDI profile type

MaRDI publication profile

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cites work

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Homogenization and Two-Scale Convergence

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A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE

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Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains

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Homogenization of the 3D Maxwell system near resonances and artificial magnetism

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Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials

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Homogenization near resonances and artificial magnetism from dielectrics

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Homogenization of Maxwell's Equations in a Split Ring Geometry

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On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra

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On traces for $\mathbf H(\text{curl},\Omega)$ in Lipschitz domains.

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Q4450072

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Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials

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HOMOGENIZATION OF THE SYSTEM OF HIGH‐CONTRAST MAXWELL EQUATIONS

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High-dimensional finite elements for multiscale Maxwell-type equations

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On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell's equations

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A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains

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Singularities of electromagnetic fields in polyhedral domains

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Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements

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Singularities of Maxwell interface problems

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The heterogeneous multiscale methods

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The Heterogeneous Multi-Scale Method for Homogenization Problems

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Analysis of the heterogeneous multiscale method for elliptic homogenization problems

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Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions

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Finite element quasi-interpolation and best approximation

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A hybridizable discontinuous Galerkin method for the time-harmonic Maxwell equations with high wave number

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An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number

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Numerical Homogenization of H(curl)-Problems

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Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering

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Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition

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An Analytical Framework for the Numerical Homogenization of Monotone Elliptic Operators and Quasiconvex Energies

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A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations

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Finite elements in computational electromagnetism

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Maxwell’s Equations: Continuous and Discrete

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STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONS

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Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations

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High-Dimensional Finite Elements for Elliptic Problems with Multiple Scales

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A Negative Index Meta-Material for Maxwell's Equations

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An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number

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Localization of elliptic multiscale problems

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Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

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Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with transparent boundary conditions

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Finite Element Methods for Maxwell's Equations

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A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems

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Localized orthogonal decomposition for two-scale Helmholtz-type problems

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A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast

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Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8--16, 2014

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Eliminating the pollution effect in Helmholtz problems by local subscale correction

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A refined finite element convergence theory for highly indefinite Helmholtz problems

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Homogenization of the Maxwell Equations at Fixed Frequency

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Identifiers

zbMATH Open document ID

1422.65415

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DOI

10.1051/m2an/2018064

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5226420