607 UN CO RR EC TE D PR O O F 1 An Implicit and Parallel Chimera Type Domain 2 Decomposition Method 3

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 Stable BETI Methods in Electromagnetics

In this paper we present a stable boundary element tearing and interconnecting 6 domain decomposition method for the parallel solution of the electromagnetic wave equation 7 with piecewise constant wave numbers. In particular we consider stable boundary integral 8 formulations and generalized Robin type transmission conditions to ensure unique solvability 9 of the local subproblems. Numerical r...

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 Domain Decomposition Methods for Auxiliary Linear 2 Problems of an Elliptic Variational Inequality 3

Elliptic variational inequalities with multiple bodies are considered. It is assumed 7 that an active set method is used to handle the nonlinearity of the inequality constraint, which 8 results in auxiliary linear problems. We describe two domain decomposition methods for solv9 ing such linear problems, namely, the FETI-FETI (finite element tearing and interconnecting) 10 and hybrid methods, wh...

UN CO RR EC TE D PR O O F 1 A Parallel Monolithic Domain Decomposition Method 2 for Blood Flow Simulations in 3 D 3

We develop a parallel scalable domain decomposition method for the simulation 9 of blood flows in compliant arteries in 3D, by using a fully coupled system of linear elasticity 10 equation and incompressible Navier-Stokes equations. The system is discretized with a finite 11 element method on unstructured moving meshes and solved by a Newton-Krylov algorithm 12 preconditioned with an overlappin...