Analysis of an interior penalty DG method for the quad-curl problem

DOI10.1093/imanum/draa034OpenAlexW3049297768MaRDI QIDQ5077081

Weifeng Qiu, Gang Chen, Liwei Xu

Publication date: 17 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06724

zbMATH Keywords

mixed finite element methodLipschitz domainlow regularityquad-curl problemdiscrete Sobolev imbedding inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Higher-order elliptic systems (35J48)

Related Items (5)

A priori and a posteriori error estimates for the quad-curl eigenvalue problem ⋮ A DPG method for the quad-curl problem ⋮ Superconvergence analysis of curlcurl-conforming elements on rectangular meshes ⋮ A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems ⋮ Three families of grad div-conforming finite elements

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