Dr. Gerd Rapin
Foto Dr. Gerd Rapin


Institut für Numerische und Angewandte Mathematik


Lotzestraße 16-18
37083 Göttingen

Fax:+49 551 39 33944
Mail:grapin@math.uni-goettingen.de
Homepage:http://www.num.math.uni-goettingen.de/grapin
Research interests
Finite Element Methods (FEM),
Stabilized Methods,
Domain Decomposition Methods,
Computional Fluid Dynamics (CFD)
Publications
Preprints

Höche, D., Shinn, M., Kaspar, J., Rapin, G., Schaaf, P.:
Laser Pulse Structure Dependent Texture of FEL Syntesized TiNx Coatings, submitted September 2006.

Höche, D., Rapin, G., Kaspar, J., Shinn, M., Schaaf, P.:
Free Electron Laser Nitriding of Metals: From basis physics to industrial applications, accepted in Applied Surface
Science. November 2006. (pdf)

Dolean,V., Nataf, F., Rapin, G. :
Deriving a new domain decomposition method for the Stokes equations unsing the Smith factorization, submitted October
2006.

Dolean,V., Nataf, F., Rapin, G. :
How to use the Smith Factorizetion for Domain Decomposition, submitted October 2006.

Knopp,T., Lube, G., Rapin, G. :
Domain decomposition methods for linear incompressible flow problems - an overview, submitted October 2006.

Nataf, F., Rapin, G. :
Construction of a New Domain Decomposition Method for the Stokes Equations. Accepted Proc. DD 16, New York, March 2005.


Publications in Journals

Lube, G., Rapin, G.:
Residual-based stabilized higher-order FEM for a generalized Oseen problem,
Math. Models & Meth. in Applied Sciences 16 (2006), 1-18 (pdf)

Lube, G., Rapin, G.:
Residual-based stabilized higher-order FEM for advection-dominated problems,
Computer Methods. Appl. Mech. Engrg. 195 (2006), 4124-4138 (pdf)

Dolean,V., Nataf, F., Rapin, G.:
New constructions of domain decomposition methods for systems of PDEs,
C.R. Acad. Sci. Paris, Ser. I 340 (2005), 693-696 (pdf)

Rapin, G., Lube, G.::
A stabilized three-field method for advection-diffusion equations, Computing 73 (2004), 155-178 (ps.gz) , (pdf)

Rapin, G., Lube, G.::
A stabilized scheme for the Lagrange multiplier method for advection-diffusion equations, Math. Models & Meth. in
Applied Sciences 14 (2004), 1035-1060. (ps.gz) , (pdf)

Knopp, T., Lube, G., Rapin, G.:
Stabilized finite element methods with shock-capturing for advection diffusion problems, Comp. Meths. Appl. Mech.
Engrg. 191 (2002) 27-28, 2997-3013


Publications in proceedings (with referee process)

Rapin, G., Lube, G.:
A stabilized three-field formulation for advection-diffusion equations and its iterative decoupling. accepted for
Proceedings Fifteenth Intern. Conf. Domain Decomposition Methods. Berlin. 2003. (ps.gz) , (pdf)

Lube, G., Knopp, T., Rapin, G.:
Acceleration of a non-overlapping Schwarz method for singularly perturbed elliptic problems. accepted for Proceedings
Fifteenth Intern. Conf. Domain Decomposition Methods. Berlin. 2003. (ps.gz) , (pdf)

Rapin, G., Lube G.:
Comparison of two iterative substructuring methods for advection-diffusion problems, Proc. 13. Conf. Domain
Decomposition Methods (N.Debit, M Garbey et al. eds.), DDM.org 2001, pp. 435-442. (ps.gz) , (pdf)


Publications in proceedings (without referee process)

Knopp, T., Lube, G., Rapin, G.:
Stabilized FEM with shock-capturing for advection diffusion problems,
ZAMM 81 (2001) S3, 767-768


Other publications

Lube, G., Rapin, G. (ed.):
Proceedings of the BAIL 2006 Conference. ISBN: 3-00-019600-5

Rapin, G.::
The Three-field Formulation for Elliptic Equations: Stabilization and Decoupling Strategies, PhD thesis, Göttingen,
Cuvillier Verlag. 2003. (ps.gz) , (pdf)

Rapin, G.::
Die Navier-Stokes Gleichungen - Zur Problematik von a-posteriori Fehlerschätzern unter Beachtung hydrodynamischer
Stabilität, Diploma thesis, Göttingen. 1999. (ps)
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