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Optimized Robin Transmission Conditions for Anisotropic Diffusion on Arbitrary Meshes

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Domain Decomposition Methods in Science and Engineering XXVII (DD 2022)

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 149))

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Abstract

We are interested in solving in parallel anisotropic diffusion problems of the form.

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References

  1. Andreianov, B., Boyer, F., and Hubert, F. Discrete duality finite volume schemes for Leray-Lions type problems on general 2D meshes. Numerical Methods for PDE 23(1), 145–195 (2007).

    Google Scholar 

  2. Domelevo, K. and Omnes, P. A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. M2AN Math. Model. Numer. Anal. 39(6), 1203–1249 (2005).

    Google Scholar 

  3. Gander, M. J. Optimized Schwarz methods. SIAM Journal on Numerical Analysis 44(2), 699–731 (2006).

    Google Scholar 

  4. Gander, M. J., Halpern, L., Hubert, F., and Krell, S. Discrete optimization of Robin transmission conditions for anisotropic diffusion with discrete duality finite volume methods. Vietnam Journal of Mathematics 49, 1349–1378 (2021).

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  5. Gander, M. J., Halpern, L., Hubert, F., and Krell, S. Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations. Moroccan Journal of Pure and Applied Analysis 7(2), 182–213 (2021).

    Google Scholar 

  6. Goudon, T., Krell, S., and Lissoni, G. Non-overlapping Schwarz algorithms for the incompressible Navier–Stokes equations with DDFV discretizations. ESAIM: Mathematical Modelling and Numerical Analysis 55(4), 1271–1321 (2021).

    Google Scholar 

  7. Hermeline, F. Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes. Comput. Methods Appl. Mech. Engrg. 192(16-18), 1939–1959 (2003).

    Google Scholar 

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Correspondence to Martin J. Gander .

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Gander, M.J., Halpern, L., Hubert, F., Krell, S. (2024). Optimized Robin Transmission Conditions for Anisotropic Diffusion on Arbitrary Meshes. In: Dostál, Z., et al. Domain Decomposition Methods in Science and Engineering XXVII. DD 2022. Lecture Notes in Computational Science and Engineering, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-031-50769-4_2

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