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Title: Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrödinger equations under the Lorentz gauge
Authors: Ma, C
Cao, L
Lin, Y 
Keywords: Crank-Nicolson
Error estimates
Galerkin method
Issue Date: 2018
Publisher: Oxford University Press
Source: IMA journal of numerical analysis, 2018, v. 38, no. 4, p. 2074-2104 How to cite?
Journal: IMA journal of numerical analysis 
Abstract: In this article, we study a numerical method and its convergence for solving the time-dependent Maxwell-Schrödinger equations under the Lorentz gauge. An alternating Crank-Nicolson finite-element method for solving the problem is presented and an optimal error estimate for the numerical algorithm is obtained by a mathematical inductive method. Numerical experiments are then carried out to confirm the theoretical results.
ISSN: 0272-4979
EISSN: 1464-3642
DOI: 10.1093/imanum/drx060
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