UN CO RR EC TE D PR O O F 1 Optimal Control of the Convergence Rate of Schwarz 2 Waveform Relaxation Algorithms 3

UN CO RR EC TE D PR O O F 1 Newton - Schwarz Optimised Waveform Relaxation 2 Krylov Accelerators for Nonlinear Reactive Transport 3

Krylov-type methods are widely used in order to accelerate the convergence of 10 Schwarz-type methods in the linear case. Authors in [2] have shown that they ac11 celerate without overhead cost the convergence speed of Schwarz methods for dif12 ferent types of transmission conditions. In the nonlinear context, the well-known 13 class of Newton-Krylov-Schwarz methods (cf. [5]) for steady-state p...

UN CO RR EC TE D PR O O F 1 Mesh Regularization in Bank - Holst Parallel 2 hp - Adaptive Meshing 3 Randolph

UN CO RR EC TE D PR O O F 1 A Two - Level Additive Schwarz Preconditioner for C 0 2 Interior Penalty Methods for Cahn - Hilliard Equations 3

We study a two-level additive Schwarz preconditioner for C0 interior penalty 7 methods for a biharmonic problem with essential and natural boundary conditions with Cahn8 Hilliard type. We show that the condition number of the preconditioned system is bounded 9 by C(1+(H3/δ 3)), where H is the typical diameter of a subdomain, δ measures the overlap 10 among the subdomains, and the positive const...

UN CO RR EC TE D PR O O F 1 Penalty Robin - Robin Domain Decomposition Schemes 2 for Contact Problems of Nonlinear Elastic Bodies 3

UN CO RR EC TE D PR O O F 1 Two - Grid LNKSz for Distributed Control of Unsteady 2 Incompressible Flows 3

The distributed control of unsteady incompressible flows has been the focus of 9 intense research in scientific computing in the past few years. Most of the existing approaches 10 for distributed control problems are based on the so-called reduced space method which is 11 easier to implement but may have convergence issues in some situations. In this paper we 12 investigate some fully coupled p...