Dr. Gerd Rapin | |||||||||
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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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