Limit Analysis Method in Electrostatics

Igor A. Brigadnov ()
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Igor A. Brigadnov: North-Western State Technical University

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 176-185 from Springer

Abstract: 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.

Keywords: Gradient Projection; Effective Induction; External Charge; Linear Equality Constraint; Clear Physical Interpretation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_15

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DOI: 10.1007/978-3-642-18775-9_15

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