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Adaptive domain decomposition algorithms and finite volume/finite element approximation for advection-diffusion equations

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Abstract

Poor performances can be obtained from classical domain decomposition algorithms to solve advection-diffusion equations in the case of convection dominated flows. Therefore, adaptive domain decomposition have been developed for such flows. We investigate the properties of some algorithms of this kind in the framework of a finite volume/finite element discretization.

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References

  • Arminjon, P., Dervieux, A., Fezoui, L., Steve, H., and Stoufflet, B. (1988). Non-oscillatory schemes for multidimensional Euler calculations with unstructured grids,Notes on Numer. Fluid Mechanics, Vol. 24, Jeltsch, R. and Ballmann, J. (eds.), Vieweg, Braunschweig.

    Google Scholar 

  • Carlenzoli, C., and Quarteroni, A. (1993). Adaptive domain decomposition methods for advection-diffusion problems,Proc. of the Ima Workshop on Mesh-Adaptivity.

  • Funaro, D., Quarteroni, A., and Zanolli, P. (1988). An iterative procedure with interface relaxation for domain decomposition methods.SIAM J. Numer. Anal. 25, 1213–1236.

    Google Scholar 

  • Habbal, A., Dervieux, A., Guillard, H., and Larrouturou, B. (1987). Explicit calculation of reactive flows with an upwind finite element hydrodynamical cose, INRIA report, No. 690.

  • Marini, L. D., and Quarteroni, A. (1989). A relaxation procedure for domain decomposition methods using finite elements.Numer. Math. 55, 575–598.

    Google Scholar 

  • Quarteroni, A. (1990). Domain decomposition methods for system of conservation laws: spectral collocation approximation.SIAM J. Sci. Stat. Comp. 11, 1029–1052.

    Google Scholar 

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This research was carried out while the author was visiting the Group of Applied Mathematics and Simulation of CRS4, and was supported by an HCM fellowship.

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Ciccoli, M.C. Adaptive domain decomposition algorithms and finite volume/finite element approximation for advection-diffusion equations. J Sci Comput 11, 299–341 (1996). https://doi.org/10.1007/BF02088951

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