376
eng
reportzib
0
1998-12-08
1998-12-08
--
Fast Data Assimilation in Fire Tests of Steel Members
This report presents a fast data assimilation method to produce an interpolating time and space temperature distribution for steel members subject to fire testing. The method assimilates collected temperature data into the numerical integration of the heat equation. This physically based method also allows the computation of lateral and axial heat flux into and inside the member.
SC-98-33
377
urn:nbn:de:0297-zib-3766
Wolfgang Kühn
Manfred Korzen
Olaf Paetsch
ZIB-Report
SC-98-33
eng
uncontrolled
data assimilation
eng
uncontrolled
heat equation
Informatik, Informationswissenschaft, allgemeine Werke
Heat equation
Finite difference methods
ZIB Allgemein
Paetsch, Olaf
https://opus4.kobv.de/opus4-zib/files/376/SC-98-33.ps
https://opus4.kobv.de/opus4-zib/files/376/SC-98-33.pdf
1524
eng
reportzib
0
2012-04-30
2012-04-30
--
Data Enhancement for Active Thermography
Pulse thermography is a non-destructive testing method based on infrared imaging of transient thermal patterns. Heating the surface of the structure under test for a short period of time generates a non-stationary temperature distribution and thus a thermal contrast between the defect and the sound material. Due to measurement noise, preprocessing of the experimental data is necessary, before reconstruction algorithms can be applied. We propose a decomposition of the measured temperature into Green's function solutions to eliminate noise.
1438-0064
urn:nbn:de:0297-zib-15243
http://qirt.gel.ulaval.ca/archives/qirt2012/papers/QIRT-2012-167.pdf
Appeared in: E-book Proceedings, Ed. by Gennaro Cardone, 11th International Conference on Quantitative Infrared Thermography, Naples, 2012, 2012-ISBN 9788890648441
Sebastian Götschel
Sebastian Götschel
Martin Weiser
Christiane Maierhofer
Regina Richter
ZIB-Report
12-20
eng
uncontrolled
data enhancement
eng
uncontrolled
active thermography
eng
uncontrolled
quantitative reconstruction
eng
uncontrolled
Green's functions
Methods of materials testing and analysis (for specific chemical analysis methods, see 82.80.-d)
Thermography
Heat equation
Fundamental solutions, Green`s function methods, etc.
Image processing
Numerical Mathematics
Computational Medicine
Weiser, Martin
BAM-Thermography
https://opus4.kobv.de/opus4-zib/files/1524/ZR-12-20.pdf
1157
eng
reportzib
0
2009-11-23
2009-11-23
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The Coolest Path Problem
We introduce the coolest path problem, which is a mixture of two well-known problems from distinct mathematical fields. One of them is the shortest path problem from combinatorial optimization. The other is the heat conduction problem from the field of partial differential equations. Together, they make up a control problem, where some geometrical object traverses a digraph in an optimal way, with constraints on intermediate or the final state. We discuss some properties of the problem and present numerical solution techniques. We demonstrate that the problem can be formulated as a linear mixed-integer program. Numerical solutions can thus be achieved within one hour for instances with up to 70 nodes in the graph.
09-37
1438-0064
1216
urn:nbn:de:0297-zib-11571
Appeared in: NETWORKS AND HETEROGENEOUS MEDIA, Volume 5, Number 1, March 2010 pp. 143–162. doi:10.3934/nhm.2010.5.143
Martin Frank
unknown unknown
Armin Fügenschuh
Michael Herty
Lars Schewe
ZIB-Report
09-37
Mathematik
Heat equation
Network models, deterministic
Integer programming
Mathematical Optimization
Fügenschuh, Armin
https://opus4.kobv.de/opus4-zib/files/1157/ZR_09_37.pdf
https://opus4.kobv.de/opus4-zib/files/1157/Data.zip