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An explicit/implicit Galerkin domain decomposition procedure for parabolic integro-differential equations

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Abstract

In this paper, a non-iterative domain decomposition procedure for parabolic integro-differential equation is discussed. While the flux is evaluated explicitly in time at the interface, that is, the inter-domain boundary, an implicit method is used to solve the problem in the sub-domains. A priori error estimates are derived and the result of a numerical experiment is presented.

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Authors and Affiliations

  1. Department of Mathematics, IIT Bombay, Powai, Mumbai, 400076, India

    Debasish Pradhan, Neela Nataraj & Amiya K. Pani

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  1. Debasish Pradhan
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  2. Neela Nataraj
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  3. Amiya K. Pani
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Correspondence to Neela Nataraj.

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Pradhan, D., Nataraj, N. & Pani, A.K. An explicit/implicit Galerkin domain decomposition procedure for parabolic integro-differential equations. J. Appl. Math. Comput. 28, 295–311 (2008). https://doi.org/10.1007/s12190-008-0106-8

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  • DOI: https://doi.org/10.1007/s12190-008-0106-8

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