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ML is a multigrid preconditioning package intended to solve linear systems of equations Ax = b where A is a user supplied n × n sparse matrix, b is a user supplied vector of length n and x is a vector of length n to be computed. ML should be used on large sparse linear systems arising from partial differential equation (PDE) discretizations. While(More)
The analysis of large–scale nonlinear shell problems asks for parallel simulation approaches. One crucial part of efficient and well scalable parallel FE–simulations is the solver for the system of equations. Due to the inherent suitability for parallelization one is very much directed towards preconditioned iterative solvers. However thin walled structures(More)
Mortar finite element methods allow for a flexible and efficient coupling of arbitrary nonconforming interface meshes and are by now quite well established in nonlinear contact analysis. In this paper, a mortar method for three-dimensional (3D) finite deformation contact is presented. Our formulation is based on so-called dual Lagrange multipliers, which in(More)
This paper discusses special aspects of a three–dimensional formulation for the modelling of shell structures. Such a formulation offers various merits compared to 'classical' shell models. With respect to the realization of such a model one is on the other hand also confronted with a number of challenges. One challenge that is adressed in this paper is the(More)
The application of the finite element method to nonlinear solid mechanics problems results in the neccessity to repeatedly solve a large nonlinear set of equations. In this paper we limit ourself to problems arising in constrained solid mechanics problems. It is common to apply some variant of Newton's method or a Newton– Krylov method to such problems.(More)