TY  - JOUR
A1  - Grajewski, Matthias
A1  - Köster, Michael
A1  - Turek, Stefam
T1  - Numerical analysis and implementational aspects of a new multilevel grid deformation method
JF  - Applied Numerical Mathematics
N2  - Recently, we introduced and mathematically analysed a new method for grid deformation (Grajewski et al., 2009) [15] we call basic deformation method (BDM) here. It generalises the method proposed by Liao et al. (Bochev et al., 1996; Cai et al., 2004; Liao and Anderson, 1992) [4], [6], [20]. In this article, we employ the BDM as core of a new multilevel deformation method (MDM) which leads to vast improvements regarding robustness, accuracy and speed. We achieve this by splitting up the deformation process in a sequence of easier subproblems and by exploiting grid hierarchy. Being of optimal asymptotic complexity, we experience speed-ups up to a factor of 15 in our test cases compared to the BDM. This gives our MDM the potential for tackling large grids and time-dependent problems, where possibly the grid must be dynamically deformed once per time step according to the user's needs. Moreover, we elaborate on implementational aspects, in particular efficient grid searching, which is a key ingredient of the BDM.
Y1  - 2010
U6  - https://doi.org/10.1016/j.apnum.2010.03.017
SN  - 0168-9274
VL  - 60
IS  - 8
SP  - 767
EP  - 781
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - JOUR
A1  - Grajewski, Matthias
A1  - Hron, Jaroslav
A1  - Turek, Stefan
T1  - Numerical analysis for a new non-conforming linear finite element on quadrilaterals
JF  - Journal of Computational and Applied Mathematics
Y1  - 2006
U6  - https://doi.org/10.1016/j.cam.2005.05.024
SN  - 0377-0427
VL  - 193
IS  - 1
SP  - 38
EP  - 50
ER  - 
TY  - CHAP
A1  - Kleefeld, Andreas
ED  - Constanda, Christian
T1  - Numerical calculation of interior transmission eigenvalues with mixed boundary conditions
T2  - Computational and Analytic Methods in Science and Engineering
N2  - Interior transmission eigenvalue problems for the Helmholtz equation play an important role in inverse wave scattering. Some distribution properties of those eigenvalues in the complex plane are reviewed. Further, a new scattering model for the interior transmission eigenvalue problem with mixed boundary conditions is described and an efficient algorithm for computing the interior transmission eigenvalues is proposed. Finally, extensive numerical results for a variety of two-dimensional scatterers are presented to show the validity of the proposed scheme.
Y1  - 2020
SN  - 978-3-030-48185-8 (Hardcover)
U6  - https://doi.org/10.1007/978-3-030-48186-5_9
SP  - 173
EP  - 195
PB  - Birkhäuser
CY  - Cham
ER  - 
TY  - BOOK
A1  - Staat, Manfred
A1  - Heitzer, Michael
T1  - Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems.
Y1  - 2003
SN  - 3-00-010001-6
N1  - NIC Series Vol. 15 / Ed. by Staat, M; Heitzer, M.
PB  - John von Neumann Institute for Computing (NIC)
CY  - Jülich
ER  - 
TY  - JOUR
A1  - Behbahani, Mehdi
A1  - Mai, A.
A1  - Waluga, C.
A1  - Bergmann, B.
A1  - Tran, L.
A1  - Vonderstein, K.
A1  - Behr, M.
A1  - Mottaghy, K.
T1  - Numerical Modeling of Flow-Related Thrombus Formation under Physiological and Non-Physiological Flow Conditions
JF  - Acta Physiologica
Y1  - 2010
SN  - 1748-1716
N1  - Joint Congress of the Scandinavian and German Physiological Societies, Copenhagen, Denmark, March 27-30, 2010
VL  - 198
IS  - Supplement 677
SP  - 185
ER  - 
TY  - JOUR
A1  - Behbahani, Mehdi
A1  - Probst, M.
A1  - Mai, A.
A1  - Behr, M.
A1  - Tran, L.
A1  - Vonderstein, K.
A1  - Mottaghy, K.
T1  - Numerical Prediction of Blood Damage in Biomedical Devices
Y1  - 2010
N1  - Posterpresentation ; Biomedica Congress, Aachen, March 17-18, 2010
ER  - 
TY  - JOUR
A1  - Behbahani, Mehdi
A1  - Tran, L.
A1  - Jockenhövel, S.
A1  - Behr, M.
A1  - Mottaghy, K.
T1  - Numerical prediction of thrombocyte reactions for application to a vascular flow model
JF  - British Journal of Surgery
Y1  - 2011
SN  - 1365-2168
N1  - 46th Congress of the European Society for Surgical Research, Aachen, Germany, 25-28 May 2011 ; ESSR Abstracts 2011 ; Oral Sessions OP10-5
VL  - 98
IS  - S5
SP  - S17
PB  - Oxford University Press
CY  - Oxford
ER  - 
TY  - CHAP
A1  - Duong, Minh Tuan
A1  - Nguyen, Nhu Huynh
A1  - Staat, Manfred
ED  - Eberhardsteiner, J.
T1  - Numerical stability enhancement of modeling hyperelastic materials
T2  - Proceedings European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)
Y1  - 2012
N1  - 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Vienna, Austria, September 10-14, 2012
ER  - 
TY  - JOUR
A1  - Müller-Veggian, Mattea
A1  - Lieder, R. M.
A1  - Didelez, J. P.
A1  - Beuscher, H.
T1  - Observation of a New Isomer in ²¹² Po
JF  - Annual report 1978 / Kernforschungsanlage Jülich Institut für Kernphysik / Hrsg.: A. Fässler. -
Y1  - 1979
N1  - Spezielle Berichte der Kernforschungsanlage Jülich ; 36
SP  - 38
PB  - Kernforschungsanlage
CY  - Jülich
ER  - 
TY  - JOUR
A1  - Müller-Veggian, Mattea
A1  - Lieder, R. M.
A1  - Didelez, J. P.
A1  - Beuscher, H.
T1  - Observation of a New Isomer in ²¹² Po
JF  - Physical review letters
Y1  - 1978
U6  - https://doi.org/10.1103/PhysRevLett.41.742
SN  - 0031-9007
VL  - 41
IS  - 11
SP  - 742
EP  - 745
PB  - American Physical Society
CY  - Ridge, NY
ER  -