In this paper we develop and analyse domain decomposition methods for linear systems of equations arising from conforming finite element discretisations of positive Maxwell-type equations. Convergence of domain decomposition methods rely heavily on the efficiency of the coarse space used in the second level. We design adaptive coarse spaces that complement the near-kernel space made of the gradient of scalar functions. This extends the results in  to the variable coefficient case and non-convex domains at the expense of a larger coarse space.
|Place of Publication||Ithaca, N.Y.|
|Number of pages||22|
|Publication status||Published - 4 Dec 2020|
- maxwell equations
- two-level DDM preconditioners
- domain decomposition methods
- numerical analysis