@article{PawelkeButzer1968,
  author    = {Pawelke, Siegfried and Butzer, Paul L.},
  title     = {Semi-groups and resolvent operators},
  series = {Archive for Rational Mechanics and Analysis},
  volume    = {30},
  journal   = {Archive for Rational Mechanics and Analysis},
  number    = {2},
  publisher = {Springer},
  address   = {Berlin},
  issn      = {0003-9527},
  doi       = {10.1007/BF00250941},
  pages     = {127 -- 147},
  year      = {1968},
  language  = {en}
}
@article{PawelkeSchmittMeissen1990,
  author    = {Pawelke, Siegfried and Schmitt, W. and Meissen, Th.},
  title     = {Aachen 3D finger. 3D digitizer for application in dentistry / Schmitt, W. ; Pawelke, S. ; Meissen, Th.},
  series = {Biomedizinische Technik. 35 (1990), H. 4},
  journal   = {Biomedizinische Technik. 35 (1990), H. 4},
  isbn      = {0013-5585},
  pages     = {69 -- 71},
  year      = {1990},
  language  = {en}
}
@inproceedings{PetersZiemonsDammersetal.2001,
  author    = {Peters, H. and Ziemons, Karl and Dammers, J. and M{\"u}ller-Veggian, Mattea},
  title     = {Continuous head motion detection during MEG measurement using head location coils},
  series = {Proceedings of the 12th International Conference on Biomagnetism : August 13 - 17, 2000, Helsinki University of Technology, Espoo, Finland},
  booktitle = {Proceedings of the 12th International Conference on Biomagnetism : August 13 - 17, 2000, Helsinki University of Technology, Espoo, Finland},
  editor    = {Nenonen, Jukka},
  publisher = {Helsinki Univ. of Technology, Laboratory of Biomedical Engineering},
  address   = {Espoo},
  isbn      = {951-22-5401-8},
  pages     = {XX, 1060 S. : Ill., graph. Darst.},
  year      = {2001},
  language  = {en}
}
@phdthesis{Pham2011,
  author    = {Pham, Phu Tinh},
  title     = {Upper bound limit and shakedown analysis of elastic-plastic bounded linearly kinematic hardening structures},
  publisher = {RWTH Aachen University},
  address   = {Aachen},
  pages     = {140 S.},
  year      = {2011},
  language  = {en}
}
@inproceedings{PhamNguyenStaat2012,
  author    = {Pham, Phu Tinh and Nguyen, Thanh Ngoc and Staat, Manfred},
  title     = {FEM based shakedown analysis of hardening structures},
  series = {Proceedings International Conference on Advances in Computational Mechanics (ACOME)},
  booktitle = {Proceedings International Conference on Advances in Computational Mechanics (ACOME)},
  pages     = {870 -- 882},
  year      = {2012},
  language  = {en}
}
@article{PhamStaat2014,
  author    = {Pham, Phu Tinh and Staat, Manfred},
  title     = {FEM-based shakedown analysis of hardening structures},
  series = {Asia Pacific journal on computational engineering},
  journal   = {Asia Pacific journal on computational engineering},
  number    = {1},
  publisher = {SpringerOpen},
  address   = {Berlin},
  issn      = {2196-1166 (E-Journal)},
  doi       = {10.1186/2196-1166-1-4},
  pages     = {Article No. 4},
  year      = {2014},
  abstract  = {This paper develops a new finite element method (FEM)-based upper bound algorithm for limit and shakedown analysis of hardening structures by a direct plasticity method. The hardening model is a simple two-surface model of plasticity with a fixed bounding surface. The initial yield surface can translate inside the bounding surface, and it is bounded by one of the two equivalent conditions: (1) it always stays inside the bounding surface or (2) its centre cannot move outside the back-stress surface. The algorithm gives an effective tool to analyze the problems with a very high number of degree of freedom. Our numerical results are very close to the analytical solutions and numerical solutions in literature.},
  language  = {en}
}
@inproceedings{PhamStaat2015,
  author    = {Pham, Phu Tinh and Staat, Manfred},
  title     = {A simplification for shakedown analysis of hardening structures},
  series = {Conference proceedings of the YIC GACM 2015 : 3rd ECCOMAS Young Investigators Conference and 6th GACM Colloquium on Computational Mechanics , Aachen , Germany, 20.07.2015 - 23.07.2015 / ed.: Stefanie Elgeti ; Jaan-Willem Simon},
  booktitle = {Conference proceedings of the YIC GACM 2015 : 3rd ECCOMAS Young Investigators Conference and 6th GACM Colloquium on Computational Mechanics , Aachen , Germany, 20.07.2015 - 23.07.2015 / ed.: Stefanie Elgeti ; Jaan-Willem Simon},
  publisher = {RWTH Aachen University},
  address   = {Aachen},
  organization    = {ECCOMAS Young Investigators Conference <3, 2015, Aachen>},
  pages     = {1 -- 4},
  year      = {2015},
  language  = {en}
}
@article{PhamStaat2013,
  author    = {Pham, Phu Tinh and Staat, Manfred},
  title     = {An Upper Bound Algorithm for Limit and Shakedown Analysis of Bounded Linearly Kinematic Hardening Structures},
  series = {Limit State of Materials and Structures : Direct Methods 2. Saxc{\´e}, G{\´e}ry de (Hrsg.)},
  journal   = {Limit State of Materials and Structures : Direct Methods 2. Saxc{\´e}, G{\´e}ry de (Hrsg.)},
  publisher = {Springer},
  address   = {Dordrecht},
  isbn      = {978-94-007-5424-9},
  pages     = {71 -- 87},
  year      = {2013},
  language  = {en}
}
@article{PhamVuTranetal.2010,
  author    = {Pham, Phu Tinh and Vu, Khoi Duc and Tran, Thanh Ngoc and Staat, Manfred},
  title     = {A primal-dual algorithm for shakedown analysis of elastic-plastic bounded linearly kinematic hardening bodies},
  pages     = {1 -- 7},
  year      = {2010},
  language  = {en}
}
@article{PhilippEfthimiouPaganoetal.2022,
  author    = {Philipp, Mohr and Efthimiou, Nikos and Pagano, Fiammetta and Kratochwil, Nicolaus and Pizzichemi, Marco and Tsoumpas, Charalampos and Auffray, Etiennette and Ziemons, Karl},
  title     = {Image reconstruction analysis for positron emission tomography with heterostructured scintillators},
  series = {IEEE Transactions on Radiation and Plasma Medical Sciences},
  volume    = {7},
  journal   = {IEEE Transactions on Radiation and Plasma Medical Sciences},
  number    = {1},
  publisher = {IEEE},
  address   = {New York, NY},
  issn      = {2469-7311},
  doi       = {10.1109/TRPMS.2022.3208615},
  pages     = {41 -- 51},
  year      = {2022},
  abstract  = {The concept of structure engineering has been proposed for exploring the next generation of radiation detectors with improved performance. A TOF-PET geometry with heterostructured scintillators with a pixel size of 3.0×3.1×15 mm3 was simulated using Monte Carlo. The heterostructures consisted of alternating layers of BGO as a dense material with high stopping power and plastic (EJ232) as a fast light emitter. The detector time resolution was calculated as a function of the deposited and shared energy in both materials on an event-by-event basis. While sensitivity was reduced to 32\% for 100 μm thick plastic layers and 52\% for 50 μm, the CTR distribution improved to 204±49 ps and 220±41 ps respectively, compared to 276 ps that we considered for bulk BGO. The complex distribution of timing resolutions was accounted for in the reconstruction. We divided the events into three groups based on their CTR and modeled them with different Gaussian TOF kernels. On a NEMA IQ phantom, the heterostructures had better contrast recovery in early iterations. On the other hand, BGO achieved a better contrast to noise ratio (CNR) after the 15th iteration due to the higher sensitivity. The developed simulation and reconstruction methods constitute new tools for evaluating different detector designs with complex time responses.},
  language  = {en}
}