TY  - JOUR
A1  - Pieper, Martin
T1  - Multiobjective optimization with expensive objectives applied to a thermodynamic material design problem
JF  - Proceedings in applied mathematics and mechanics : PAMM. 11 (2011), H. 1
Y1  - 2011
SN  - 1617-7061
SP  - 733
EP  - 734
PB  - Wiley
CY  - Weinheim
ER  - 
TY  - JOUR
A1  - Pieper, Martin
A1  - Klein, Peter
T1  - Numerical solution of the heat equation with non-linear, time derivative-dependent source term
JF  - International Journal for Numerical Methods in Engineering
N2  - 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.
Y1  - 2010
U6  - http://dx.doi.org/10.1002/nme.2937
SN  - 0029-5981
VL  - 84
IS  - 10
SP  - 1205
EP  - 1221
PB  - Wiley
CY  - Chichester
ER  - 
TY  - JOUR
A1  - Pieper, Martin
T1  - Vector hyperinterpolation on the sphere
JF  - Journal of approximation theory. 156 (2009), H. 2
Y1  - 2009
SN  - 0021-9045
SP  - 173
EP  - 186
ER  - 
TY  - JOUR
A1  - Ewe, Hendrik
A1  - Klein, Peter
A1  - Pieper, Martin
A1  - Füldner, G.
T1  - Heat conductivity in sintered aluminium fibers
JF  - 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 Günter Stephani
Y1  - 2009
SP  - 187
EP  - 193
PB  - Fraunhofer IFAM
CY  - Dresden
ER  - 
TY  - JOUR
A1  - Pieper, Martin
T1  - Nonlinear integral equations for an inverse electromagnetic scattering problem
JF  - Journal of Physics Conference Series. 124 (2008)
Y1  - 2008
SN  - 1742-6596
ER  - 
TY  - JOUR
A1  - Pieper, Martin
A1  - Ivanyshyn, Olha
T1  - Nonlinear integral equations for a 3D inverse acoustic scattering problem : abstract / O. Ivanyshyn and M. Pieper
Y1  - 2008
N1  - World Congress on Computational Mechanics <8, 2008, Venedig> ; European Congress on Computational Methods in Applied Sciences and Engineering <5, 2008, Venedig>
ER  - 
TY  - BOOK
A1  - Pieper, Martin
T1  - Spektralrandintegralmethoden zur Maxwell-Gleichung
Y1  - 2007
SN  - 978-3-89959-635-9
N1  - Zugl.: Göttingen, Univ., Diss., 2007
PB  - Der Andere Verl.
CY  - Tönning [u.a.]
ER  -