ABSTRACT
In this paper, I present a Robin-type nonoverlapping domain decomposition (DD) preconditioner for the well-posed Maxwell's equations in two dimensions, which is deduced from the renew equation of the Robin-Robin iteration algorithm. The unknown variables to be solved in this preconditioned algebraic system are the Robin transmission data on the interface. Through choosing a suitable parameter on each subdomain boundary and using the tool of energy estimate, I prove that the condition number of the preconditioned system is optimal. Numerical results which confirm my theory are given in the last.
2010 Mathematics Subject Classifications:
Acknowledgments
We thank the editor and the anonymous referees who made many helpful comments and suggestions which led to an improved presentation of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Zhixin Huo http://orcid.org/0000-0001-9656-1934