@inproceedings{StollenwerkRiekeDahmenetal.2016,
  author    = {Stollenwerk, Dominik and Rieke, C. and Dahmen, Markus and Pieper, Martin},
  title     = {Biogas Production Modelling : A Control System Engineering Approach},
  series = {IOP Conference Series: Earth and Environmental Science. Bd. 32},
  booktitle = {IOP Conference Series: Earth and Environmental Science. Bd. 32},
  issn      = {1755-1315},
  doi       = {10.1088/1755-1315/32/1/012008},
  pages     = {012008/1 -- 012008/4},
  year      = {2016},
  language  = {en}
}
@article{RiekeStollenwerkDahmenetal.2018,
  author    = {Rieke, Christian and Stollenwerk, Dominik and Dahmen, Markus and Pieper, Martin},
  title     = {Modeling and optimization of a biogas plant for a demand-driven energy supply},
  series = {Energy},
  volume    = {145},
  journal   = {Energy},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0360-5442},
  doi       = {10.1016/j.energy.2017.12.073},
  pages     = {657 -- 664},
  year      = {2018},
  abstract  = {Due to the Renewable Energy Act, in Germany it is planned to increase the amount of renewable energy carriers up to 60\%. One of the main problems is the fluctuating supply of wind and solar energy. Here biogas plants provide a solution, because a demand-driven supply is possible. Before running such a plant, it is necessary to simulate and optimize the process. This paper provides a new model of a biogas plant, which is as accurate as the standard ADM1 model. The advantage compared to ADM1 is that it is based on only four parameters compared to 28. Applying this model, an optimization was installed, which allows a demand-driven supply by biogas plants. Finally the results are confirmed by several experiments and measurements with a real test plant.},
  language  = {en}
}
@inproceedings{PieperSchulz2014,
  author    = {Pieper, Martin and Schulz, Silvia},
  title     = {Teaching Simulation Methods with COMSOL Multiphysics},
  organization    = {COMSOL Conference <2014, Cambridge>},
  pages     = {7},
  year      = {2014},
  abstract  = {This paper describes two courses on simulation methods for graduate students: "Simulation Methods" and "Simulation and Optimization in Virtual Engineering" The courses were planned to teach young engineers how to work with simulation software as well as to understand the necessary mathematical background. As simulation software COMSOL is used. The main philosophy was to combine theory and praxis in a way that motivates the students. In addition "soft skills" should be improved. This was achieved by project work as final examination. As underlying didactical principle the ideas of Bloom's revised taxonomy were followed. The paper basically focusses on educational aspects, e.g. how to structure the course, plan the exercises, organize the project work and include practical COMSOL examples.},
  language  = {en}
}
@article{PieperKlein2011,
  author    = {Pieper, Martin and Klein, Peter},
  title     = {A simple and accurate numerical network flow model for bionic micro heat exchangers},
  series = {Heat mass transfer},
  volume    = {47},
  journal   = {Heat mass transfer},
  number    = {5},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {0947-7411},
  pages     = {491 -- 503},
  year      = {2011},
  language  = {en}
}
@article{PieperKlein2012,
  author    = {Pieper, Martin and Klein, Peter},
  title     = {Application of simple, periodic homogenization techniques to non-linear heat conduction problems in non-periodic, porous media},
  series = {Heat mass transfer},
  volume    = {48},
  journal   = {Heat mass transfer},
  number    = {2},
  publisher = {Springer},
  address   = {Berlin},
  issn      = {0947-7411},
  doi       = {10.1007/s00231-011-0879-4},
  pages     = {291 -- 300},
  year      = {2012},
  abstract  = {Often, detailed simulations of heat conduction in complicated, porous media have large runtimes. Then homogenization is a powerful tool to speed up the calculations by preserving accurate solutions at the same time. Unfortunately real structures are generally non-periodic, which requires unpractical, complicated homogenization techniques. We demonstrate in this paper, that the application of simple, periodic techniques to realistic media, that are just close to periodic, gives accurate, approximative solutions. In order to obtain effective parameters for the homogenized heat equation, we have to solve a so called "cell problem". In contrast to periodic structures it is not trivial to determine a suitable unit cell, which represents a non-periodic media. To overcome this problem, we give a rule of thumb on how to choose a good cell. Finally we demonstrate the efficiency of our method for virtually generated foams as well as real foams and compare these results to periodic structures.},
  language  = {en}
}
@article{PieperKlein2010,
  author    = {Pieper, Martin and Klein, Peter},
  title     = {Numerical solution of the heat equation with non-linear, time derivative-dependent source term},
  series = {International Journal for Numerical Methods in Engineering},
  volume    = {84},
  journal   = {International Journal for Numerical Methods in Engineering},
  number    = {10},
  publisher = {Wiley},
  address   = {Chichester},
  issn      = {0029-5981},
  doi       = {10.1002/nme.2937},
  pages     = {1205 -- 1221},
  year      = {2010},
  abstract  = {The mathematical modeling of heat conduction with adsorption effects in coated metal structures yields the heat equation with piecewise smooth coefficients and a new kind of source term. This term is special, because it is non-linear and furthermore depends on a time derivative. In our approach we reformulated this as a new problem for the usual heat equation, without source term but with a new non-linear coefficient. We gave an existence and uniqueness proof for the weak solution of the reformulated problem. To obtain a numerical solution, we developed a semi-implicit and a fully implicit finite volume method. We compared these two methods theoretically as well as numerically. Finally, as practical application, we simulated the heat conduction in coated aluminum fibers with adsorption in the zeolite coating. Copyright © 2010 John Wiley \& Sons, Ltd.},
  language  = {en}
}
@article{PieperIvanyshyn2008,
  author    = {Pieper, Martin and Ivanyshyn, Olha},
  title     = {Nonlinear integral equations for a 3D inverse acoustic scattering problem : abstract / O. Ivanyshyn and M. Pieper},
  year      = {2008},
  language  = {en}
}
@article{Pieper2009,
  author    = {Pieper, Martin},
  title     = {Vector hyperinterpolation on the sphere},
  series = {Journal of approximation theory. 156 (2009), H. 2},
  journal   = {Journal of approximation theory. 156 (2009), H. 2},
  isbn      = {0021-9045},
  pages     = {173 -- 186},
  year      = {2009},
  language  = {en}
}
@article{Pieper2008,
  author    = {Pieper, Martin},
  title     = {Nonlinear integral equations for an inverse electromagnetic scattering problem},
  series = {Journal of Physics Conference Series. 124 (2008)},
  journal   = {Journal of Physics Conference Series. 124 (2008)},
  isbn      = {1742-6596},
  year      = {2008},
  language  = {en}
}
@article{Pieper2011,
  author    = {Pieper, Martin},
  title     = {Multiobjective optimization with expensive objectives applied to a thermodynamic material design problem},
  series = {Proceedings in applied mathematics and mechanics : PAMM. 11 (2011), H. 1},
  journal   = {Proceedings in applied mathematics and mechanics : PAMM. 11 (2011), H. 1},
  publisher = {Wiley},
  address   = {Weinheim},
  isbn      = {1617-7061},
  pages     = {733 -- 734},
  year      = {2011},
  language  = {en}
}