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

DOI10.1142/S021820251150028XzbMath1238.35151OpenAlexW2066748360MaRDI QIDQ2884808

Serge Nicaise, Nicolas Nemitz, Francis Piriou, Yvonnick Le Menach, Zuqi Tang, Emmanuel Creusé

Publication date: 18 May 2012

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820251150028x

zbMATH Keywords

finite element methodMaxwell equationsa posteriori estimatorspotential formulations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Maxwell equations (35Q61)

Related Items (9)

Developing a time-domain finite element method for the Lorentz metamaterial model and applications ⋮ Residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation ⋮ Two guaranteed equilibrated error estimators for harmonic formulations in eddy current problems ⋮ A posteriori error estimator for harmonic A‐φ formulation ⋮ Adaptive Finite Element Method for the Maxwell Eigenvalue Problem ⋮ A priori and posteriori error analysis for time-dependent Maxwell's equations ⋮ Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system ⋮ Analysis of eddy current formulations in two-dimensional domains with cracks ⋮ Existence results for the A & φ magnetodynamic formulation of the Maxwell system

Cites Work

• On Zienkiewicz--Zhu error estimators for Maxwell's equations
• Convergence analysis of an adaptive edge element method for Maxwell's equations
• Robust a posteriori error estimation for the Maxwell equations
• A posteriori error indicators for Maxwell's equations
• A posteriori error estimation for the heterogeneous Maxwell equations on isotropic and anisotropic meshes
• An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings
• The Finite Element Method for Electromagnetic Modeling
• Implicit a posteriori error estimates for the Maxwell equations
• Finite Element Methods for Navier-Stokes Equations
• Singularities of eddy current problems
• Finite Element Methods for Maxwell's Equations
• Residual based a posteriori error estimators for eddy current computation
• A hybrid formulation of eddy current problems
• An Adaptive Multilevel Method for Time‐Harmonic Maxwell Equations with Singularities
• A posteriori error estimates for Maxwell equations
• Equilibrated residual error estimator for edge elements
• Unnamed Item

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