Energy Conserving Galerkin Finite Element Methods for the Maxwell--Klein--Gordon System

DOI10.1137/17M1158690zbMath1434.65270OpenAlexW3021186238MaRDI QIDQ5110547

Li-qun Cao, Chupeng Ma, Yan Ping Lin

Publication date: 20 May 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1158690

zbMATH Keywords

error estimatesfinite element methodenergy conservationMaxwell-Klein-Gordontime integration scheme

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (2)

Convergence of a discretization of the Maxwell–Klein–Gordon equation based on finite element methods and lattice gauge theory ⋮ The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge

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