Paper Info
Title
Energy Conserving Galerkin Finite Element Methods for the Maxwell-Klein-Gordon System.
Abstract
In this paper, we consider the Galerkin finite element methods for the Maxwell- Klein-Gordon system in the Coulomb gauge. We propose a semidiscrete finite element method for the system with the mixed finite element approximation of the vector potential. Energy conservation and error estimates are established for this scheme. A novel energy conserving time integration scheme is presented for solving the semidiscrete system. The existence and uniqueness of solutions to the fully discrete system are proved under some assumptions. Numerical experiments are carried out to support our theoretical analysis.
Year
DOI
Venue
2020
10.1137/17M1158690
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
DocType
Volume
Maxwell-Klein-Gordon,energy conservation,finite element method,time integration scheme,error estimates
Journal
58
Issue
ISSN
Citations 
2
0036-1429
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Chupeng Ma100.68
Liqun Cao200.34
Yanping Lin324426.94