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Christoph Erath


moved to Boulder/Colorado (working at NCAR)
erathhp.jpg

Fields of Research:

Finite volume method, finite volume element method, boundary element method
(a posteriori error estimation, adaptivity, mesh refining, diffusion-convection-reaction problems, coupling)

Position/Grant:

  • From March 2007 to February 2010 I got a scholarship issued by the federal state of Baden-Württemberg
  • From October 2005 to August 2010 research and teaching assistent (part time, Uni Ulm)

Publications:

07/2009 C.Erath, S. Funken, P. Goldentis and D.Praetorius:
Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D,
submitted to SIAM J. Sci. Comp.
01/2008 C.Erath, S. Funken and D.Praetorius:
Adaptive Cell-Centered Finite Volume Method,
Finite Volumes for Complex Applications V, Wiley, 359-366, 2008, cesfdp_revisedemb.pdf
10/2007 C.Erath, S. Ferraz-Leite, S. Funken and D.Praetorius:
Energy Norm Based A Posteriori Error Estimation for Boundary Element Methods in Two Dimensions,
in press APNUM 2009, available online: doi:10.1016/j.apnum.2008.12.024
09/2007 C.Erath and D.Praetorius:
A Posteriori Error Estimate and Adaptive Mesh-Refinement for the Cell-Centered Finite Volume Method
for Elliptic Boundary Value Problems
,
SIAM J. Numer. Anal. Volume 47, Issue 1, pp. 109-135 (2008)
09/2005 Diploma Thesis:
Adaptive Finite Volumen Methode (in German),
File in German: ce_dipl.pdf
Supervisor: Prof. Dirk Praetorius (TU Wien)

Talks:

09/2008 Finite volume methods, boundary element method,
Talk on the research meeting with the Vienna university of Technology,
September 13-17,2008, Söllerhaus (Kleinwalsertal,Vorarlberg), Austria
06/2008 Adaptive Finite Volume Method,
File (cooperate design of faculty): FVCA5.pdf,
A posteriori error estimate and adaptive mesh refinement for the cell-centered FVM and coupling with BEM
Talk on the 5th International Symposium on Finite Volumes for Complex Applications, June 08-13, 2008, Aussois, France
12/2007 Adaptive Finite Volume Method,
File (cooperate design of faculty): AdaptiveFVM.pdf,
Videos (sequence of mesh-refinement): rectref4.avi, trianref4.avi (save in the same directory as the pdf-File)
A posteriori error estimate and adaptive mesh refinement for the cell-centered FVM
Talk on the research meeting with Augsburg, 06.12.2007
11/2007 FVM-BEM Kopplung (in German),
File in German (cooperate design of faculty): FVMBEMkopplung.pdf
Was gewinnen wir, wenn wir zwei numerische Methoden koppeln?
Vortrag auf dem WIMA Tag am 10.11.2007 (Uni Ulm)

Material:

Winter Term 2006/2007 Seminar: An introduction to the Boundary Element Method (BEM),
Files in German: SlidesBEM240107.pdf, Lecturenotes.pdf

Honors:

2006: Best Diploma thesis award by the Austrian Mathematical Society

Teaching:

Summer Term 2010 Numerik IV (Uni Ulm)
Summer Term 2009 WiMa I Software-Praktikum (Uni Ulm)
Summer Term 2008 Numerik von Integralgleichungen (Uni Ulm)
Winter Term 2007/2008 Numerische Mathematik II (Uni Ulm)
Winter Term 2006/2007 Höhere Mathematik III für Elektrotechniker (Uni Ulm)
Summer Term 2006 Höhere Mathematik II für Elektrotechniker (Uni Ulm)
Seminar: Mathematik löst praktische Probleme (Uni Ulm)
Winter Term 2005/2006 Höhere Mathematik I für Elektrotechniker (Uni Ulm)
Summer Term 2003 Tutor at the department of Algorithms and Data Structures (TU Wien)
Winter Term 2002/2003 Tutor at the department of mathematics (BOKU Wien)

Short Curriculum Vitae:

07/2010 Promotion (Dr.rer.nat), Thesis: Coupling of the Finite Volume Method and the Boundary Element Method
University of Ulm, Germany
10/2005-08/2010 Assistant (Univ.Ass.) at the Department of Numerics in Ulm
10/2005 Diploma in Mathematics (Dipl.-Ing.), Thesis: Adaptive Finite Volumen Methode
Vienna University of Technology, Austria
10/1999-10/2005 Study of Mathematics
Vienna University of Technology (TU-Wien)
07/2003-06/2004 Exchange Year in Trondheim
Norwegian University of Science and Technology (NTNU Trondheim)
07/2001 1.Diplomprüfung in Mathematics
Vienna University of Technology
06/1999 Matura
HTL-Rankweil (electronics/telecommunications)
10/1979 born in Feldkirch/Vorarlberg, Austria


Updated: ( Christoph Erath)