On the convergence of mortar edge element methods in R-3

摘要

In this paper, we are concerned with mortar element methods for the numerical solution of the eddy currents equations based on domain decompositions on nonmatching grids using individual subdomain discretizations by the lowest order edge elements of Nedelec firs family. The main results are optimal a priori error estimates of the global discretization error and the Lagrange multipliers that take care of the weak continuity constraints on the tangential traces across interior subdomain boundaries. These estimates are derived under moderate regularity assumptions.