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Article
Bounds for theN lowest eigenvalues of fourth-order boundary value problems
We describe a method for the calculation of theN lowest eigenvalues of fourth-order problems inH 0 2 (Ω). In order to obtain small error bounds...
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Article
UG – A flexible software toolbox for solving partial differential equations
Over the past two decades, some very efficient techniques for the numerical solution of partial differential equations have been developed. We are especially interested in adaptive local grid refinement on un...
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Chapter
Efficient Elasto-Plastic Simulation
In this paper we describe a method for the construction of radial return algorithms to the plasticity models discussed in Alber [1]. For the classical examples this shows that the algorithms in Simo-Hughes [5] ca...
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Article
Parallel 3-d simulations for porous media models in soil mechanics
Numerical simulations in 3-d for porous media models in soil mechanics are a difficult task for the engineering modelling as well as for the numerical realization. Here, we present a general numerical scheme ...
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Article
Parallel Krylov methods and the application to 3-d simulations of a triphasic porous media model in soil mechanics
We introduce a general parallel model for solving coupled nonlinear and time-dependent problems in soil mechanics, where we employ general purpose linear solvers with specially adjusted preconditioners. In par...
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Article
Efficiency comparison of an augmented finite element formulation with standard return map** algorithms for elastic-inelastic materials
The numerical simulation of elastic-inelastic material behaviour is reviewed and an alternative method, i. e., an augmented Finite Element (FE) formulation is presented. For the augmented FE formulation, the h...
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Chapter and Conference Paper
Parallel Space-Time Solutions for the Linear Visco-Acoustic and Visco-Elastic Wave Equation
We present parallel adaptive results for a discontinuous Galerkin space-time discretization for acoustic and elastic waves with attenuation. The method is based on p-adaptive polynomial discontinuous ansatz and t...
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Chapter
Hybrid Discretizations in Solid Mechanics for Non-linear and Non-smooth Problems
We introduce novel hybrid discontinuous Galerkin methods for applications in solid mechanics. Different methods are introduced and numerically evaluated for several benchmark scenarios which show that our new ...