Adaptive Finite Element Method for the Maxwell Eigenvalue Problem (Q4629322)

scientific article; zbMATH DE number 7040525

Language	Label	Description	Also known as
English	Adaptive Finite Element Method for the Maxwell Eigenvalue Problem	scientific article; zbMATH DE number 7040525

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instance of

scholarly article

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title

Adaptive Finite Element Method for the Maxwell Eigenvalue Problem (English)

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SIAM Journal on Numerical Analysis

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publication date

22 March 2019

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full work available at URL

https://arxiv.org/abs/1804.02377

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zbMATH Keywords

edge finite elements

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eigenvalue problem

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Maxwell's equations

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adaptive finite element method

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MaRDI profile type

MaRDI publication profile

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cites work

Construction of a Finite Element Basis of the First de Rham Cohomology Group and Numerical Solution of 3D Magnetostatic Problems

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Residual based a posteriori error estimators for eddy current computation

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Adaptive finite element methods with convergence rates

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Fortin operator and discrete compactness for edge elements

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Approximation of eigenvalues in mixed form, discrete compactness property, and application to \(hp\) mixed finite elements

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Finite element approximation of eigenvalue problems

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Mixed Finite Element Methods and Applications

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A posteriori error analysis for nonconforming approximation of multiple eigenvalues

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Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation

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Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form

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Residual-baseda posteriorierror estimation for the Maxwell’s eigenvalue problem

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A posteriori error estimates for Maxwell's eigenvalue problem

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A residual-based a posteriori error estimator for the \(hp\)-finite element method for Maxwell's equations

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Convergence of an automatic \(hp\)-adaptive finite element strategy for Maxwell's equations

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On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems

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Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method

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Residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation

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An Adaptive Multilevel Method for Time‐Harmonic Maxwell Equations with Singularities

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Robust a posteriori error estimation for the Maxwell equations

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Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system

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RESIDUAL-BASED A POSTERIORI ESTIMATORS FOR THE A - φ MAGNETODYNAMIC HARMONIC FORMULATION OF THE MAXWELL SYSTEM

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Q4924046

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Convergence and optimal complexity of adaptive finite element eigenvalue computations

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Convergence and quasi-optimality of adaptive finite element methods for harmonic forms

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A Convergent Adaptive Algorithm for Poisson’s Equation

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A POSTERIORI ERROR ESTIMATORS FOR MIXED APPROXIMATIONS OF EIGENVALUE PROBLEMS

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An optimal adaptive FEM for eigenvalue clusters

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CONVERGENCE OF ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE PROBLEMS

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Finite elements in computational electromagnetism

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Mixed formulations for finite element analysis of magnetostatic and electrostatic problems

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A posteriori error indicators for Maxwell's equations

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Finite Element Methods for Maxwell's Equations

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Mixed finite elements in \(\mathbb{R}^3\)

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A new family of mixed finite elements in \({\mathbb{R}}^ 3\)

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On Zienkiewicz--Zhu error estimators for Maxwell's equations

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A posteriori error estimation for the heterogeneous Maxwell equations on isotropic and anisotropic meshes

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A posteriori error estimates for Maxwell equations

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Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions

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An iterative adaptive finite element method for elliptic eigenvalue problems

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Optimality of a standard adaptive finite element method

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The completion of locally refined simplicial partitions created by bisection

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A posteriori error estimator for harmonic A‐φ formulation

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Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations

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Identifiers

zbMATH Open document ID

1412.65202

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DOI

10.1137/18M1179389

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4629322