In this paper, we design robust and efficient linear solvers for the numerical approximation of solutions to Maxwell's equations with dissipative boundary conditions. We consider a structure-preserving finite-element approximation with standard Nédélec--Raviart--Thomas elements in space and a Crank--Nicolson scheme in time to approximate the electric and magnetic fields. We focus on two types of ... read moreblock preconditioners. The first type is based on the well-posedness results of the discrete problem. The second uses an exact block factorization of the linear system, for which the structure-preserving discretization yields sparse Schur complements. We prove robustness and optimality of these block preconditioners and provide supporting numerical tests.read less
Adler, J. H., X. Hu, and L. T. Zikatanov. "Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions." SIAM Journal on Scientific Computing 39, no. 5 (January 2017): S3-23. https://doi.org/10.1137/16M1073339.
