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Limit Analysis Method in Electrostatics

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Numerical Mathematics and Advanced Applications
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Summary

The limit analysis problem (LAP) for estimation of electric durability for a dielectric in a powerful electric field is examined. The appropriate dual problem is formulated. After the standard piecewise linear continuous finite-element approximation the dual LAP is transformed into the problem of mathematical programming with linear equality constraints. This finite dimension problem is effectively solved by the standard method of gradient projection.

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© 2004 Springer-Verlag Berlin Heidelberg

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Brigadnov, I.A. (2004). Limit Analysis Method in Electrostatics. In: Feistauer, M., Dolejší, V., Knobloch, P., Najzar, K. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18775-9_15

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  • DOI: https://doi.org/10.1007/978-3-642-18775-9_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62288-5

  • Online ISBN: 978-3-642-18775-9

  • eBook Packages: Springer Book Archive

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