TY  - JOUR
A1  - Ayala, Rafael Ceja
A1  - Harris, Isaac
A1  - Kleefeld, Andreas
T1  - Direct sampling method via Landweber iteration for an absorbing scatterer with a conductive boundary
JF  - Inverse Problems and Imaging
N2  - In this paper, we consider the inverse shape problem of recovering isotropic scatterers with a conductive boundary condition. Here, we assume that the measured far-field data is known at a fixed wave number. Motivated by recent work, we study a new direct sampling indicator based on the Landweber iteration and the factorization method. Therefore, we prove the connection between these reconstruction methods. The method studied here falls under the category of qualitative reconstruction methods where an imaging function is used to recover the absorbing scatterer. We prove stability of our new imaging function as well as derive a discrepancy principle for recovering the regularization parameter. The theoretical results are verified with numerical examples to show how the reconstruction performs by the new Landweber direct sampling method.
Y1  - 2024
U6  - https://doi.org/10.3934/ipi.2023051
SN  - 1930-8337
SN  - 1930-8345 (eISSN)
VL  - 18
IS  - 3
SP  - 708
EP  - 729
PB  - AIMS
CY  - Springfield
ER  - 
TY  - CHAP
A1  - Savitskaya, Irina S.
A1  - Kistaubayeva, Aida S.
A1  - Akimbekov, Nuraly S.
A1  - Digel, Ilya
A1  - Zhubanova, Azhar A.
T1  - Performance of Bio-Composite Carbonized Materials in Probiotic Applications
T2  - World Academy of Science, Engineering and Technology International Journal of Biotechnology and Bioengineering
Y1  - 2013
VL  - 7
IS  - 7
SP  - 685
EP  - 689
ER  - 
TY  - CHAP
A1  - Frotscher, Ralf
A1  - Raatschen, Hans-Jürgen
A1  - Staat, Manfred
ED  - Eberhardsteiner, J.
T1  - Application of an edge-based smoothed finite element method on geometrically non-linear plates of non-linear material
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  - CHAP
A1  - Laack, Walter van
T1  - Twee Kanten van één Medaille
T2  - Het Geheim van Elysion : 45 Jaar Studies naar Nabij-de-Dood-Ervaringen over Bewustzijn in Liefde zonder Waarheen
Y1  - 2020
SN  - 978-94-93175-44-0
SP  - 97
EP  - 105
PB  - Van Warven
CY  - Kampen
ER  - 
TY  - JOUR
A1  - Bialonski, Stephan
A1  - Ansmann, Gerrit
A1  - Kantz, Holger
T1  - Data-driven prediction and prevention of extreme events in a spatially extended excitable system
JF  - Physical Review E
Y1  - 2015
U6  - https://doi.org/10.1103/PhysRevE.92.042910
SN  - 2470-0053
VL  - 92
IS  - 4
SP  - 042910
ER  - 
TY  - JOUR
A1  - Staat, Manfred
T1  - Versagenswahrscheinlichkeit der Primärkreisdruckumschließung eines HTR-Moduls zur Prozeßwärmegewinnung unter Störfallbedingungen bei verschiedenen Versagensmoden
Y1  - 1991
N1  - 17. MPA-Seminar : Sicherheit und Verfügbarkeit in der Anlagentechnik mit dem Schwerpunkt Kerntechnik, Stuttgart (1991), 22.1-22.20
ER  - 
TY  - JOUR
A1  - Breuß, Michael
A1  - Kleefeld, Andreas
T1  - Implicit monotone difference methods for scalar conservation laws with source terms
JF  - Acta Mathematica Vietnamica
N2  - In this article, a concept of implicit methods for scalar conservation laws in one or more spatial dimensions allowing also for source terms of various types is presented. This material is a significant extension of previous work of the first author (Breuß SIAM J. Numer. Anal. 43(3), 970–986 2005). Implicit notions are developed that are centered around a monotonicity criterion. We demonstrate a connection between a numerical scheme and a discrete entropy inequality, which is based on a classical approach by Crandall and Majda. Additionally, three implicit methods are investigated using the developed notions. Next, we conduct a convergence proof which is not based on a classical compactness argument. Finally, the theoretical results are confirmed by various numerical tests.
KW  - Entropy solution
KW  - Source term
KW  - Monotone methods
KW  - Implicit methods
KW  - Finite difference methods
KW  - Conservation laws
Y1  - 2020
U6  - https://doi.org/10.1007/s40306-019-00354-1
SN  - 2315-4144
N1  - Corresponding author: Andreas Kleefeld
VL  - 45
SP  - 709
EP  - 738
PB  - Springer Singapore
CY  - Singapore
ER  - 
TY  - JOUR
A1  - Allefeld, Carsten
A1  - Bialonski, Stephan
T1  - Detecting synchronization clusters in multivariate time series via coarse-graining of Markov chains
JF  - Physical Review E
Y1  - 2007
U6  - https://doi.org/10.1103/PhysRevE.76.066207
SN  - 2470-0053
VL  - 76
IS  - 6
SP  - 066207
ER  - 
TY  - JOUR
A1  - Laack, Walter van
T1  - Entstehen und Funktion von Bewusstsein: Immaterielle Einflussnahme
JF  - Deutsches Ärzteblatt. 97 (2000), H. 9
Y1  - 2000
SN  - 0012-1207
SP  - A-540
ER  - 
TY  - JOUR
A1  - Laack, Walter van
T1  - Juvenile Osteochondronekrosen - Wesen und mögliche Entstehungsursachen
JF  - Zeitschrift für Allgemeinmedizin ; ZFA. 60 (1984)
Y1  - 1984
SN  - 0341-9835
SP  - 1432
ER  -