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Robust Preconditioners for Equations with Jumping Anisotropic Coefficients

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 36))

Abstract

The elliptic equations with strongly jumping anisotropic diffusion coefficients as well as equations defined in domains involving thin substructures face a wide range of applications in the problems of structural mechanics, porous media, magnetostatics and biology. Unstable convergence of the traditional iterative schemes appears to be a bottleneck in efficient numerical treatment of large scale computational problems with degeneration in coefficients and geometries.

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© 2004 Springer-Verlag Berlin Heidelberg

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Khoromskij, B.N., Wittum, G. (2004). Robust Preconditioners for Equations with Jumping Anisotropic Coefficients. In: Numerical Solution of Elliptic Differential Equations by Reduction to the Interface. Lecture Notes in Computational Science and Engineering, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18777-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-18777-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20406-0

  • Online ISBN: 978-3-642-18777-3

  • eBook Packages: Springer Book Archive

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