Two-level iterative algorithms for two-dimensional \(H(\mathrm{curl})\)-elliptic problem with a symmetry interior penalty discontinuous Galerkin method

DOI10.1016/j.aml.2021.107821zbMath1493.65244OpenAlexW4200586850MaRDI QIDQ2077030

Dongxue Qiu, Liuqiang Zhong, Jie Peng

Publication date: 22 February 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107821

zbMATH Keywords

discontinuous Galerkin methodspace decomposition\(H(\mathrm{curl})\)-elliptic problemtwo-level iterative algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Electromagnetic theory (general) (78A25)

Cites Work

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• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• A deluxe FETI-DP algorithm for a hybrid staggered discontinuous Galerkin method for H(curl)-elliptic problems
• An a posteriori error indicator for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations
• A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems
• Multigrid Method for Maxwell's Equations
• Convergence of Multigrid Algorithms for Interior Penalty Methods
• Auxiliary space preconditioners for SIP-DG discretizations of H(curl)-elliptic problems with discontinuous coefficients

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