Rainer Niekamp
Braunschweig University of Technology
37 Papers
265 Citations
Rainer Niekamp is an academic researcher from Braunschweig University of Technology. The author has contributed to research in topics: Finite element method & Component (UML). The author has an hindex of 13, co-authored 35 publications. Previous affiliations of Rainer Niekamp include Leibniz University of Hanover.
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Papers
Multi‐scale modeling of heterogeneous structures with inelastic constitutive behaviour: Part I – physical and mathematical aspects
TL;DR: The paper confirms that one can produce very powerful computational tools by software coupling technology described herein, which allows the class of complex problems one can successfully tackle nowadays to be extended significantly.
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Error indicators for mixed finite elements in 2-dimensional linear elasticity
TL;DR: In this paper, a posteriori error indicators for mixed finite elements in plane elasticity are established, which refer to residuals of the strong equations and jumps of the displacements on interelement boundaries.
42
Finite elements in space and time for generalized viscoelastic maxwell model
TL;DR: In this paper, a generalization of a new numerical approach with simultaneous space-time finite element discretization for viscoelastic problems developed in the papers by Buch et al. (1999) and Idesman et al (2000) is presented for the case of the generalized VMM model, which allows to use only differential equations for the constitutive equations instead of integrodifferential ones.
39
An object-oriented approach for parallel two- and three-dimensional adaptive finite element computations
Rainer Niekamp,Erwin Stein +1 more
TL;DR: A refinement algorithm which adapts hexahedral meshes in a node regular way, i.e. without hanging nodes is described, which offers the means to implement FE formulations in a way, very similar to the mathematical notation.
38
Continuous and discontinuous Galerkin methods with finite elements in space and time for parallel computing of viscoelastic deformation
TL;DR: In this paper, a non-symmetric variational and discretized formulation with space-time finite elements is proposed for viscoelastic problems based on the continuous Galerkin method (CGM) and discontinuous Galerkins method (DGM).
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