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 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 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 Heterogeneous Domain Decomposition Methods 2 for Eddy Current Problems 3

The usual setting of an eddy current problem distinguishes between a conduct7 ing region and an air region (non-conducting) surrounding the conductor. For the numerical 8 approximation of this heterogeneous problem it is very natural to use iterative substructur9 ing methods based on transmission conditions at the interface. We analyze the convergence 10 of the Dirichlet-Neumann iterative metho...

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 Simultaneous Augmented Lagrange Approach for AQ 1 2 the Simulation of Soft Biological Tissue 3

In this paper, we consider the elastic deformation of arterial walls as occurring, 12 e.g., in the process of a balloon angioplasty, a common treatment in the case of atherosclero13 sis. Soft biological tissue is an almost incompressible material. To account for this property 14 in finite element simulations commonly used free energy functions contain terms penalizing 15 volumetric changes. The...