Convergence of finite element \(A-\phi\) method for solving time-dependent Maxwell's equations

DOI10.1016/j.amc.2005.10.007zbMath1103.78003OpenAlexW1986899051MaRDI QIDQ2495994

Chang-Feng Ma

Publication date: 30 June 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.10.007

zbMATH Keywords

error estimatesfinite elementstime-dependent Maxwell's equations\(A-\phi\) method

Mathematics Subject Classification ID

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)

Related Items (1)

Finite element analysis of an \(A-\phi\) method for time-dependent Maxwell's equations based on explicit-magnetic-field scheme

Cites Work

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• An analysis of a mixed finite element method for the Navier-Stokes equations
• Fully discrete finite element approaches for time-dependent Maxwell's equations
• On a finite-element method for solving the three-dimensional Maxwell equations
• A finite-element approximation of a quasi-magnetostatic 3D eddy current model by fractional-step A-\(\psi\) scheme
• On dual-complementary variational principles in mathematical physics
• Finite element convergence for the Darwin model to Maxwell's equations
• Analysis of a Finite Element Method for Maxwell’s Equations
• Convergence analysis of a covolume scheme for Maxwell’s equations in three dimensions
• Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
• Time-discrete finite element schemes for Maxwell's equations

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