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Magnetohydrodynamics (MHD) simulation via an adaptive element free Galerkin method

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Abstract

In this work, an adaptive element free Galerkin technique is presented to solve magnetohydrodynamics (MHD) equations. An a posteriori error estimation based on gradient recovery is suggested to find locations with largest error contribution. For stabilization, the MHD equations are converted into two convection diffusion equations and these equations are stabilized by adding an artificial diffusion based on local Péclet number. The presented numerical examples show efficiency of the adaptive technique.

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Acknowledgements

The authors are very grateful to reviewers for carefully reading the paper and for their constructive comments and suggestions.

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  1. Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran

    Zahra Jannesari & Mehdi Tatari

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  1. Zahra Jannesari
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  2. Mehdi Tatari
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Correspondence to Mehdi Tatari.

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Jannesari, Z., Tatari, M. Magnetohydrodynamics (MHD) simulation via an adaptive element free Galerkin method. Engineering with Computers 38, 679–693 (2022). https://doi.org/10.1007/s00366-020-01079-8

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  • DOI: https://doi.org/10.1007/s00366-020-01079-8

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