Superconvergence of mixed finite element semi-discretizations of two time-dependent problems.

DOI10.1023/A:1022220219953zbMath1059.65518MaRDI QIDQ1775157

Jan H. Brandts

Publication date: 4 May 2005

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33026

zbMATH Keywords

diffusion equationMaxwell equationssuperconvergencemixed elliptic projection

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Superconvergence analysis for time-dependent Maxwell's equations in metamaterials, Superconvergence of the second order cubic edge elements with Maxwell's equations, \(l_{2}\) superconvergence analysis of nonconforming element approximation for 3D time-harmonic Maxwell's equations, Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials, Superconvergence recovery of cubic edge elements for Maxwell's equations, Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method, Superconvergence analysis of high-order rectangular edge elements for time-harmonic Maxwell's equations, Superconvergence for Triangular Linear Edge Elements, Second order approximations for kinetic and potential energies in Maxwell's wave equations, A posteriori error estimation and adaptivity in the method of lines with mixed finite elements., Superconvergent recovery of edge finite element approximation for Maxwell's equations, Superconvergent recovery of rectangular edge finite element approximation by local symmetry projection, Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell's equations, Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell's equations

Cites Work

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• Superconvergence and a posteriori error estimation for triangular mixed finite elements
• An analysis of Nédélec's method for the spatial discretization of Maxwell's equations
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• A Comparison of Three Mixed Methods for the Time-Dependent Maxwell’s Equations