H(curl2)-conforming quadrilateral spectral element method for quad-curl problems

DOI10.1142/S0218202521500433zbMath1478.65137arXiv2103.08810OpenAlexW3207712564MaRDI QIDQ5024424

Weikun Shan, Zhimin Zhang, Lixiu Wang, Hui-yuan Li

Publication date: 31 January 2022

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

Full work available at URL: https://arxiv.org/abs/2103.08810

zbMATH Keywords

spectral element methodquadrilateralquad-curl problem\(H(\mathrm{curl}^2)\)-conforming

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

A priori and a posteriori error estimates for the quad-curl eigenvalue problem ⋮ Superconvergence analysis of curlcurl-conforming elements on rectangular meshes ⋮ An \textit{hp}-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem ⋮ Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes

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• Preface
• Simple Curl-Curl-Conforming Finite Elements in Two Dimensions
• H(curl$^2$)-Conforming Finite Elements in 2 Dimensions and Applications to the Quad-Curl Problem
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