Dr. Rainer Niekamp



Teaching

Dissertations co-supervised with Hermann G. Matthies

Supervised Master- and Diploma Theses

Projects

  • Coupled Simulations in Science and Engineering, (COSIWIT): Funded by BMBF programme "Leben und Arbeiten in einer vernetzten Welt, Simulation und Virtuelles Engineering", subproject "Kopplungsalgorithmen", 1.4.2001 - 31.12.2003
  • BMBF-Verbundprojekt "Numerische Lösungsmethode für Fluid-Struktur-Wechselwirkungsprobleme im Schiffbau" (FSI-Schiff), subproject "Software Architektur und Algorithmen für gekoppelte Fluid−Struktur−Simulationen", 01.07.05 - 30.06.08
  • More Affordable Aircraft through eXtended, Integrated and Mature nUmerical Sizing (MAXXIMUS): Funded by the European Commission's seventh framework programme FP7, work package 3.14 "Robust Analysis : from sensitivity analysis to statistical analysis, including stochastic", subtask 3.14.2 "Stochastic Galerkin Method", 1.2.2008 - 31.12.2012. Applied for Prolongation until 2016

Software-Projects

  • Component Template Library, CTL
  • Implementation of the LiSP dialect Scheme, TypeLisp
  • Visualisation of our Galaxy,, GalaxyViewer
  • ParalleL Adaptive Techniques for OptimisatioN, PLATON

Research Interests

  • Coupled/Partitioned Systems
    • formulation (strong coupling, localised Lagrange)
    • solver strategies (iteration schemes, quasi-/block-Newton)
    • parallel computing (data partitioning, parallel algorithms)

  • Parametrised problems
    • stochastic Galerkin method
    • generalised linear models (error estimation, adaptivity)

  • Software development
    • meta-programming of mathematical concepts
    • separation of compile-time and run-time programming
    • Component-Based Software Engineering (CBSE)

    Dissertation

    The overall goal of this work is to bring together a number of problem solutions in the areas of computer science, numerical methods, and mechanics to an h-, p-, and d-adaptive dynamically load balanced and completley parallelised Finite Element Program.

    Diploma Thesis

    Supervised by Karsten Steffens, "Partitionen unendlicher Mengen", Hannover, May 1993.

    The central focus of this work is a proof of the theorem: For any partition {p0, p1} of NxN there exists an infinite subset M of N such that either p0 or p1 contains MxM.

    Awards

    Highly Recommended Award 2010 from EmeraldLiteratiNetwork for the paper "Multi-scale modelling of heterogeneous structures with inelastic constitutive behavior. Part II - software coupling implementation aspects" in the journal Engineering Computations vol. 26,1 and 2, 2009

    Patents

    "Verfahren zur komprimierten Speicherung von Triangulationsdaten", DE10116275A1, 17.10.2002

    This procedure reduces the memory amount for the connectivity of a triangular mesh below one bit per triangle.

    Publications

    • Tarin Srisupattarawanit, Rainer Niekamp, Hermann G. Matthies. A Coupled Multi-Physics Model for Dynamics of Offshore Wind Energy Converter. Development and Applications of Oceanic Engineering, 3:1-10, 2014
    • Adnan Ibrahimbegovic, Rainer Niekamp, Christophe Kassiotis, Damijan Markovic, and Hermann G. Matthies. Code-coupling strategy for efficient development of computer software in multiscale and multiphysics nonlinear evolution problems in computational mechanics. Advances in Engineering Software, 72:8-17, 2014
    • Christophe Kassiotis, Adnan Ibrahimbegovic, Rainer Niekamp, and Hermann G. Matthies. Nonlinear-fluid structure interaction problem. Part II: space discretization, implementation aspects, nested parallelization and application examples. Computational Mechanics, 47:335-357, 2011
    • Christophe Kassiotis, Adnan Ibrahimbegovic, Rainer Niekamp, and Hermann G. Matthies. Nonlinear-fluid structure interaction problem. Part I: implicit partitioned algorithm, nonlinear stability proof and validation examples. Computational Mechanics, 47:305-323, 2011
    • Rainer Niekamp, Damijan Markovic, Adnan Ibrahimbegovic, Hermann G. Matthies, and Robert L. Taylor. Multi-scale modelling of heterogeneous structures with inelastic constitutive behavior. Part II - software coupling implementation aspects. Engineering Computations, 26:6-28, 2009
    • Hermann G. Matthies, Rainer Niekamp, and Tarin Srisupattarawanit. Scientific Computing with Software Components. IACM Expressions, 19:27-31, 2006
    • Hermann G. Matthies, Rainer Niekamp, and Jan Steindorf. Algorithms for strong coupling procedures. Computer Methods in Applied Mechanics and Engineering, 195:2028-2049, 2006.
    • Tarin Srisupattarawanit, Rainer Niekamp, and Hermann G. Matthies. Simulation of nonlinear random finite depth waves coupled with an elastic structure. Computer Methods in Applied Mechanics and Engineering, 195:3072-3086, 2006
    • Damijan Markovic, Rainer Niekamp, Adnan Ibrahimbegovic, Hermann G. Matthies, and Robert L. Taylor. Multi-scale modeling of heterogeneous structures with inelastic constitutive behaviour. Part I - physical and mathematical aspects. Engineering Computations, 22:664-683, 2005
    • Erwin Stein, Rainer Niekamp, Stephan Ohnimus, and Matthias Schmidt. Hierarchical model and solution adaptivity of thin-walled structures by the Finite-Element-Method. E. Stein (ed.). Adaptive finite elements in linear and nonlinear solid and structural mechanics, CISM Course and lecture notes. 416:59-147, 2005
    • Rainer Niekamp and Erwin Stein. An object-oriented approach for parallel two- and three-dimensional adaptive finite element computations. Computers & Structures, 80:317-328, 2002
    • Alexander Idesman, Rainer Niekamp, and Erwin Stein. Finite elements in space and time for generalized viscoelastic Maxwell model. Computational Mechanics, 27:49-60, 2001
    • Dmitrij Tikhomirov, Rainer Niekamp, and Erwin Stein. On three-dimensional microcrack density distribution. ZAMM Journal of Applied Mathematics and Mechanics. 81: 3-16. 2001
    • Rainer Niekamp and Erwin Stein. The hierarchically graded multilevel finite element method. Computational Mechanics, 27:302-304, 2001
    • Alexander Idesman, Rainer Niekamp, and Erwin Stein. Continuous and discontinuous Galerkin methods with finite elements in space and time for parallel computing of viscoelastic deformation. Computer Methods in Applied Mechanics and Engineering, 190:1049-1063, 2000
    • Martin Buch, Alexander Idesman, Rainer Niekamp, and Erwin Stein. Finite elements in space and time for parallel computing of viscoelastic deformation. Computational Mechanics, 24:386-395, 1999
    • Ottmar Klaas, Rainer Niekamp, and Erwin Stein. Algorithms for the calculation of limit and bifurcation points using Lanczos methods.
      Computational Mechanics, 20:221-228, 1997
    • Ulrich Brink, Ottmar Klaas, Rainer Niekamp, and Erwin Stein. Coupling of adaptively refined dual mixed finite elements and boundary elements in linear elasticity. Advances in Engineering Software, 24:13-26, 1995
    • Ottmar Klaas, Rainer Niekamp, and Erwin Stein. Parallel adaptive finite element computations with hierarchical preconditioning.
      Computational Mechanics, 16:45-52, 1995
    • Rainer Niekamp, Jörg Schröder, and Erwin Stein. Anwendung der Integralsätze zur Herleitung der Schnittgrößen-Differentialgleichung des Biegebalkens für unstetige Belastungen. Der Bauingenieur, 70:KTB 329, 1995
    • Dietrich Braess, Ottmar Klaas, Rainer Niekamp, Erwin Stein, and Frank Wobschal. Error indicators for mixed finite elements in 2-dimensional linear elasticity. Computer Methods in Applied Mechanics and Engineering, 127:345-356, 1995