Since the nonconforming P1 finite element method for the Stokes equations was introduced
by M. Crouzeix and PA Raviart in 1973, there have been many advances in the finite …

In this paper we analyze the convergence properties of V-cycle multigrid algorithms for the
numerical solution of the linear system of equations stemming from discontinuous Galerkin …

We present W-cycle h-, p-, and hp-multigrid algorithms for the solution of the linear system of
equations arising from a wide class of hp-version discontinuous Galerkin discretizations of …

In this article we design and analyze a class of two-level non-overlapping additive Schwarz
preconditioners for the solution of the linear system of equations stemming from …

In this work we exploit agglomeration based h-multigrid preconditioners to speed-up the
iterative solution of discontinuous Galerkin discretizations of the Stokes and Navier–Stokes …

It is well known that the regularity of solutions of elliptic partial differential equations on
domains with re-entrant corners is limited by the maximal interior angle. This results in …

We consider discontinuous Galerkin methods for an elliptic distributed optimal control
problem, and we propose multigrid methods to solve the discretized system. We prove that …

In this paper, we propose and analyze an efficient preconditioning method for the elliptic
problem based on the reconstructed discontinuous approximation method. This method is …

A block-diagonal preconditioner with the minimal residual method and an approximate block-
factorization preconditioner with the generalized minimal residual method are developed for …

We design multigrid methods for an elliptic distributed optimal control problem with
pointwise state constraints. They are based on the P 1 finite element method from Brenner et …