The mortar element method for nonselfadjoint parabolic problem Original Research Article

In this paper, the mortar element method for nonselfadjoint parabolic problems is studied. The uniform convergence of the solution for the mortar element method is proved without regularity assumption. Meanwhile the error estimate is obtained under certain smoothness hypothesis. Furthermore, an additive Schwarz preconditioning method is proposed and the convergence rate for the preconditioned GMRES method is discussed without regularity assumption.