A new error analysis of a mixed finite element method for the quad-curl problem

DOI10.1016/J.AMC.2018.12.027zbMath1428.78032OpenAlexW2907488466MaRDI QIDQ2008894

Chao Wang, Jintao Cui, Zhengjia Sun

Publication date: 26 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.027

zbMATH Keywords

error analysismixed finite element methodquad-curl problem

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) Basic methods for problems in optics and electromagnetic theory (78M99) Maxwell equations (35Q61)

Related Items (10)

A priori and a posteriori error estimates for the quad-curl eigenvalue problem ⋮ Superconvergence analysis of curlcurl-conforming elements on rectangular meshes ⋮ Weak Galerkin finite element methods for quad-curl problems ⋮ Simple Curl-Curl-Conforming Finite Elements in Two Dimensions ⋮ \(H(\mathrm{curl}^2)\)-conforming spectral element method for quad-curl problems ⋮ A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems ⋮ Error analysis of a decoupled finite element method for quad-curl problems ⋮ Three families of grad div-conforming finite elements ⋮ A QUADRATIC C0 INTERIOR PENALTY METHOD FOR THE QUAD-CURL PROBLEM ⋮ H(curl2)-conforming quadrilateral spectral element method for quad-curl problems

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