New multisymplectic self-adjoint scheme and its composition scheme for the time-domain Maxwell's equations
In this paper, we investigate Euler-box scheme for Bridges' multisymplectic form of Maxwell's
equations. A new multisymplectic scheme is derived for Maxwell's equations. We prove that
it is also a self-adjoint scheme in time direction. The multisymplecticity of composition
schemes based on the new scheme is also discussed. Two numerical examples are
proposed to indicate that the derived multisymplectic schemes are effective when used to
integrate the 2+ 1 dimensional Maxwell's equations.
equations. A new multisymplectic scheme is derived for Maxwell's equations. We prove that
it is also a self-adjoint scheme in time direction. The multisymplecticity of composition
schemes based on the new scheme is also discussed. Two numerical examples are
proposed to indicate that the derived multisymplectic schemes are effective when used to
integrate the 2+ 1 dimensional Maxwell's equations.
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