@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{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{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{EweKleinPieperetal.2009, author = {Ewe, Hendrik and Klein, Peter and Pieper, Martin and F{\"u}ldner, G.}, title = {Heat conductivity in sintered aluminium fibers}, series = {Cellular metals for structural and functional applications : CELLMET 2008 ; proceedings of the International Symposium on Cellular Metals for Structural and Functional Applications held October 8 - 10, 2008 in Dresden, Germany / ed. by G{\"u}nter Stephani}, journal = {Cellular metals for structural and functional applications : CELLMET 2008 ; proceedings of the International Symposium on Cellular Metals for Structural and Functional Applications held October 8 - 10, 2008 in Dresden, Germany / ed. by G{\"u}nter Stephani}, publisher = {Fraunhofer IFAM}, address = {Dresden}, pages = {187 -- 193}, year = {2009}, 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} } @book{GuempelArltDoerenetal.2001, author = {G{\"u}mpel, Paul and Arlt, Norbert and D{\"o}ren, Horst-Peter and Heimann, Winfried and Kiesheyer, Heinrich and Schmitz, Karl W. and Uhlig, Georg}, title = {Rostfreie St{\"a}hle : Grundwissen, Konstruktions- und Verarbeitungshinweise. 3. Aufl. Kontakt \& Studium. Bd. 493}, publisher = {expert Verl.}, address = {Renningen}, isbn = {3-8169-1735-6}, pages = {264 S. : Ill., graph. Darst.}, year = {2001}, language = {de} } @article{BarsovBechstedtHardt2001, author = {Barsov, S. and Bechstedt, U. and Hardt, Arno}, title = {ANKE, a new facility for medium energy hadron physics at COSY-J{\"u}lich / S. Barsov [u.a.]}, series = {Nuclear instruments and methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. Vol. 462, iss. 3}, journal = {Nuclear instruments and methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. Vol. 462, iss. 3}, issn = {0167-5087 (Print) ; 0168-9002 (E-journal)}, pages = {364 -- 381}, year = {2001}, language = {en} } @article{BalewskiBrauksiepeHardt1997, author = {Balewski, J. and Brauksiepe, S. and Hardt, Arno}, title = {Threshold measurements at the internal experimental facility COSY-11 / J. Balewski [u.a.]}, series = {Nuclear physics A. Vol. 626, iss. 1-2}, journal = {Nuclear physics A. Vol. 626, iss. 1-2}, issn = {1873-1554 (E-Journal) ; 0375-9474 (Print)}, pages = {85 -- 92}, year = {1997}, language = {en} } @article{SchultSistemichHardt1995, author = {Schult, O. W. B. and Sistemich, K. and Hardt, Arno}, title = {Plans for investigations of subthreshold K+ production in p+A collisions / O. W. B. Schult [u.a.]}, series = {Nuclear Physics A. Vol. 583}, journal = {Nuclear Physics A. Vol. 583}, issn = {1873-1554 (E-journal); 0375-9474 (Print)}, pages = {629 -- 632}, year = {1995}, language = {en} } @article{MakovickaGaertnerHardtetal.1997, author = {Makovicka, C. and G{\"a}rtner, G. and Hardt, Arno and Hermann, W. and Wiechert, D. U.}, title = {Impregnated cathode surface investigations by SFM/STM and SEM/EDX}, series = {Applied surface science. Vol. 111}, journal = {Applied surface science. Vol. 111}, issn = {1873-5584 (E-Journal); 0169-4332 (Print)}, pages = {70 -- 75}, year = {1997}, language = {en} }