@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} } @inproceedings{PieperKonopka2013, author = {Pieper, Martin and Konopka, Mahnaz}, title = {Umgestaltung der Mathematik Anf{\"a}ngervorlesungen im Fachbereich Energietechnik}, series = {Mathematik im {\"U}bergang Schule/Hochschule und im ersten Studienjahr : extended abstracts zur 2. khdm-Arbeitstagung 20.02. - 23.02.2013. (khdm-Report ; 13-01)}, booktitle = {Mathematik im {\"U}bergang Schule/Hochschule und im ersten Studienjahr : extended abstracts zur 2. khdm-Arbeitstagung 20.02. - 23.02.2013. (khdm-Report ; 13-01)}, pages = {115 -- 116}, year = {2013}, language = {de} } @article{KahmannRauschPluemeretal.2022, author = {Kahmann, Stephanie L. and Rausch, Valentin and Pl{\"u}mer, Jonathan and M{\"u}ller, Lars P. and Pieper, Martin and Wegmann, Kilian}, title = {The automized fracture edge detection and generation of three-dimensional fracture probability heat maps}, series = {Medical Engineering \& Physics}, volume = {2022}, journal = {Medical Engineering \& Physics}, number = {110}, publisher = {Elsevier}, address = {Amsterdam}, issn = {1350-4533}, pages = {7 Seiten}, year = {2022}, abstract = {With proven impact of statistical fracture analysis on fracture classifications, it is desirable to minimize the manual work and to maximize repeatability of this approach. We address this with an algorithm that reduces the manual effort to segmentation, fragment identification and reduction. The fracture edge detection and heat map generation are performed automatically. With the same input, the algorithm always delivers the same output. The tool transforms one intact template consecutively onto each fractured specimen by linear least square optimization, detects the fragment edges in the template and then superimposes them to generate a fracture probability heat map. We hypothesized that the algorithm runs faster than the manual evaluation and with low (< 5 mm) deviation. We tested the hypothesis in 10 fractured proximal humeri and found that it performs with good accuracy (2.5 mm ± 2.4 mm averaged Euclidean distance) and speed (23 times faster). When applied to a distal humerus, a tibia plateau, and a scaphoid fracture, the run times were low (1-2 min), and the detected edges correct by visual judgement. In the geometrically complex acetabulum, at a run time of 78 min some outliers were considered acceptable. An automatically generated fracture probability heat map based on 50 proximal humerus fractures matches the areas of high risk of fracture reported in medical literature. Such automation of the fracture analysis method is advantageous and could be extended to reduce the manual effort even further.}, 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} } @book{Pieper2007, author = {Pieper, Martin}, title = {Spektralrandintegralmethoden zur Maxwell-Gleichung}, publisher = {Der Andere Verl.}, address = {T{\"o}nning [u.a.]}, isbn = {978-3-89959-635-9}, pages = {144 S. : graph. Darst.}, year = {2007}, language = {de} } @inproceedings{KremersPieper2015, author = {Kremers, Alexander and Pieper, Martin}, title = {Simulation and Verification of Bionic Heat Exchangers with COMSOL Multiphysics® Software}, series = {COMSOL Conference 2015 User Presentations ; COMSOL Conference 2015 Grenoble October 14 - 16, 2015 - World Trade Center, Grenoble, France}, booktitle = {COMSOL Conference 2015 User Presentations ; COMSOL Conference 2015 Grenoble October 14 - 16, 2015 - World Trade Center, Grenoble, France}, publisher = {COMSOL}, address = {G{\"o}ttingen ; Berlin}, pages = {6 Seiten}, year = {2015}, language = {en} } @article{JildehWagnerSchoeningetal.2015, author = {Jildeh, Zaid B. and Wagner, Torsten and Sch{\"o}ning, Michael Josef and Pieper, Martin}, title = {Simulating the electromagnetic-thermal treatment of thin aluminium layers for adhesion improvement}, series = {Physica status solidi (a)}, volume = {Vol. 212}, journal = {Physica status solidi (a)}, number = {6}, publisher = {Wiley}, address = {Weinheim}, issn = {1862-6319}, doi = {10.1002/pssa.201431893}, pages = {1234 -- 1241}, year = {2015}, abstract = {A composite layer material used in packaging industry is made from joining layers of different materials using an adhesive. An important processing step in the production of aluminium-containing composites is the surface treatment and consequent coating of adhesive material on the aluminium surface. To increase adhesion strength between aluminium layer and the adhesive material, the foil is heat treated. For efficient heating, induction heating was considered as state-of-the-art treatment process. Due to the complexity of the heating process and the unpredictable nature of the heating source, the control of the process is not yet optimised. In this work, a finite element analysis of the process was established and various process parameters were studied. The process was simplified and modelled in 3D. The numerical model contains an air domain, an aluminium layer and a copper coil fitted with a magnetic field concentrating material. The effect of changing the speed of the aluminium foil (or rolling speed) was studied with the change of the coil current. Statistical analysis was used for generating a general control equation of coil current with changing rolling speed.}, language = {en} } @book{Pieper2021, author = {Pieper, Martin}, title = {Quantum mechanics: Introduction to mathematical formulation}, publisher = {Springer}, address = {Wiesbaden}, isbn = {978-3-658-32644-9}, doi = {10.1007/978-3-658-32645-6}, pages = {XIII, 33}, year = {2021}, abstract = {Anyone who has always wanted to understand the hieroglyphs on Sheldon's blackboard in the TV series The Big Bang Theory or who wanted to know exactly what the fate of Schr{\"o}dinger's cat is all about will find a short, descriptive introduction to the world of quantum mechanics in this essential. The text particularly focuses on the mathematical description in the Hilbert space. The content goes beyond popular scientific presentations, but is nevertheless suitable for readers without special prior knowledge thanks to the clear examples.}, language = {en} } @book{Pieper2019, author = {Pieper, Martin}, title = {Quantenmechanik: Einf{\"u}hrung in die mathematische Formulierung}, publisher = {Springer Spektrum}, address = {Wiesbaden}, isbn = {978-3-658-28328-5}, doi = {10.1007/978-3-658-28329-2}, pages = {XI, 33 Seiten}, year = {2019}, language = {de} } @book{Pieper2019, author = {Pieper, Martin}, title = {Quantenmechanik : Einf{\"u}hrung in die mathematische Formulierung}, publisher = {Springer Spektrum}, address = {Wiesbaden}, isbn = {978-3-658-28329-2}, doi = {10.1007/978-3-658-28329-2}, year = {2019}, language = {de} }