Adaptive BDDC deluxe methods for H(Curl)

Abstract

The work presents numerical results using adaptive BDDC deluxe methods for preconditioning the linear systems arising from finite element discretizations of the time-domain, quasi-static approximation of the Maxwell’s equations. The provided results, obtained using the BDDC implementation of the PETSc library, show that these methods are poly-logarithmic in the polynomial degree of the Nédélec elements of first and second kind, and robust with respect to arbitrary distributions of the magnetic permeability and the conductivity of the medium.