A second-order nonconforming rectangular finite element method for approximating Maxwell's equations

DOI10.1007/S10255-011-0103-9zbMath1279.78018OpenAlexW2006434034MaRDI QIDQ1942165

Xiao-Bin Hao, Dong-Yang Shi

Publication date: 18 March 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0103-9

zbMATH Keywords

error estimatesMaxwell's equationsrectangular nonconforming elementsecond-order convergence behavior

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) Maxwell equations (35Q61)

Cites Work

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• On evolution Galerkin methods for the Maxwell and the linearized Euler equations.
• A mixed finite element formulation for Maxwell's equations in the time domain
• Mixed finite elements in \(\mathbb{R}^3\)
• Plane wave \(\mathcal H(\text{curl};\Omega)\) conforming finite elements for Maxwell's equations
• Modified shape functions for the three-node plate bending element passing the patch test
• A Mixed Method for Approximating Maxwell’s Equations
• Analysis of a Finite Element Method for Maxwell’s Equations
• A Comparison of Three Mixed Methods for the Time-Dependent Maxwell’s Equations
• Superconvergence of finite element approximations to Maxwell's equations
• Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
• Global superconvergence for Maxwell's equations

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