A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations

DOI10.1090/S0025-5718-08-02057-7zbMath1230.78028OpenAlexW2013785017MaRDI QIDQ3577002

Shi Shu, Jun Zou, Qiya Hu

Publication date: 3 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02057-7

zbMATH Keywords

domain decompositionMaxwell's equationserror estimatenonmatching gridsNédélec finite elementsgeneralized interpolationmortar edge elements

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (7)

Immersed virtual element methods for elliptic interface problems in two dimensions ⋮ Structure-preserving mesh coupling based on the Buffa-Christiansen complex ⋮ Immersed virtual element methods for electromagnetic interface problems in three dimensions ⋮ A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems ⋮ Constraint-preserving hybrid finite element methods for Maxwell's equations ⋮ Numerical analysis of a PML model for time-dependent Maxwell's equations ⋮ H(curl$^2$)-Conforming Finite Elements in 2 Dimensions and Applications to the Quad-Curl Problem

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