A NONCONFORMING PENALTY METHOD FOR A TWO-DIMENSIONAL CURL–CURL PROBLEM

DOI10.1142/S0218202509003565zbMath1168.78315OpenAlexW2085488187MaRDI QIDQ3635946

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Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1142/s0218202509003565

zbMATH Keywords

Maxwell equationsnonconforming finite element methodcurl-curl problemMaxwell eigenvalues

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) 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) Electro- and magnetostatics (78A30)

Related Items (10)

Penalty-Factor-Free Stabilized Nonconforming Finite Elements for Solving Stationary Navier-Stokes Equations ⋮ Nonconforming Maxwell eigensolvers ⋮ Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes ⋮ An adaptive \(P_1\) finite element method for two-dimensional Maxwell's equations ⋮ Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations ⋮ Multigrid methods for the symmetric interior penalty method on graded meshes ⋮ A nonconforming finite element method for an acoustic fluid-structure interaction problem ⋮ A quadratic nonconforming vector finite element for \(H(\text{curl}; \varOmega)\cap H(\text{div}; \varOmega)\) ⋮ Forty Years of the Crouzeix‐Raviart element ⋮ Pressure recovery for weakly over-penalized discontinuous Galerkin methods for the Stokes problem

Cites Work

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