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A Multiscale Domain Decomposition Method for Flow and Transport Problems

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Domain Decomposition Methods in Science and Engineering XXII

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 104))

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Abstract

It has been widely recognized that one of the major challenges in the simulation of flow and transport problems is finding the numerical solution of the pressure equation [2].

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References

  1. L. Bush, V. Ginting, On the application of the continuous Galerkin finite element method for conservation problems. SIAM J. Sci. Comput. 35(6), A2953–A2975 (2013)

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  3. W. Chen, M. Gunzburger, F. Hua, X. Wang, A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. SIAM J. Numer. Anal. 49(3), 1064–1084 (2011)

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  4. J. Douglas Jr., P.J. Paes-Leme, J.E. Roberts, J.P. Wang, A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Numer. Math. 65(1), 95–108 (1993)

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  5. A. Quarteroni, A. Valli, Domain Decomposition Methods for Partial Differential Equations. Numerical Mathematics and Scientific Computation (The Clarendon Press/Oxford University Press/Oxford Science Publications, New York, 1999)

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Correspondence to Bradley McCaskill .

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Ginting, V., McCaskill, B. (2016). A Multiscale Domain Decomposition Method for Flow and Transport Problems. In: Dickopf, T., Gander, M., Halpern, L., Krause, R., Pavarino, L. (eds) Domain Decomposition Methods in Science and Engineering XXII. Lecture Notes in Computational Science and Engineering, vol 104. Springer, Cham. https://doi.org/10.1007/978-3-319-18827-0_23

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