Finite element boundary value integration of Wheeler-Feynman electrodynamics

DOI10.1016/j.cam.2012.02.039zbMath1242.78029OpenAlexW1967707755MaRDI QIDQ421845

Savio B. Rodrigues, Jayme De Luca

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.02.039

zbMATH Keywords

finite element methodvariational methodstate-dependent delayWheeler-Feynman electrodynamicsmixed-type neutral equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Motion of charged particles (78A35) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items

Equations of motion for variational electrodynamics ⋮ The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part I: Convergence Results ⋮ The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part II: Differential Equations with Deviating Arguments ⋮ Periodic solutions of a singularly perturbed delay differential equation with two state-dependent delays ⋮ Lorentz-equivariant flow with four delays of neutral type ⋮ Global solutions to the electrodynamic two-body problem on a straight line ⋮ Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs ⋮ An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations ⋮ Solutions of the Wheeler-Feynman equations with discontinuous velocities

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