UN CO RR EC TE D PR O O F 1 Mortar Coupling for Heterogeneous Partial 2 Differential Equations 3

UN CO RR EC TE D PR O O F 1 A Neumann - Dirichlet Preconditioner for FETI - DP 2 Method for Mortar Discretization of a Fourth Order 3 Problems in 2 D 4

FETI-DP methods were introduced in [8]. They form a class of fast and efficient 13 iterative solvers for algebraic systems of equations arising from the finite element 14 discretizations of elliptic partial differential equations of second and fourth order, 15 cf. [8, 10, 11, 16] and references therein. In a one-level FETI-DP method one has 16 to solve a linear system for a set of dual variable...

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 Comparison of TFETI and TBETI for Numerical 2 Solution of Engineering Problems of Contact 3 Mechanics 4

Since the introduction of Finite Element Tearing and Interconnecting (FETI) by 10 Farhat and Roux in 1991, the method has been recognized to be an efficient parallel technique 11 for the solution of partial differential equations. In 2003 Langer and Steinbach formulated its 12 boundary element counterpart (BETI), which reduces the problem dimension to subdomain 13 boundaries. Recently, we have ...

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 A Hybrid Discontinuous Galerkin Method 2 for Darcy - Stokes Problems 3

We propose and analyze a hybrid discontinuous Galerkin method for the solution 10 of incompressible flow problems, which allows to deal with pure Stokes, pure Darcy, and 11 coupled Darcy-Stokes flow in a unified manner. The flexibility of the method is demonstrated 12 in numerical examples.