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LAGRANGE MULTIPLIER METHOD FOR SOLVING VARIATIONAL INEQUALITY IN MECHANICS

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초록

Lagrange multiplier method for solving the contact problem in elasticity is considered. Based on lower semicontinuity of sensitivity functional we prove the convergence of modified dual scheme to corre- sponding saddle point.

Abstract

Lagrange multiplier method for solving the contact problem in elasticity is considered. Based on lower semicontinuity of sensitivity functional we prove the convergence of modified dual scheme to corre- sponding saddle point.

참고문헌 (16)

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  7. A. M. Khludnev, "Elasticity Problems in Non-Smooth Domains" (2010), Fizmatlit
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  12. Robert V. Namm, "Solution of semicoercive Signorini problem based on a duality scheme with modified Lagrangian functional", 대한수학회지, 49(4), pp.843~854 (2012), 대한수학회[DOI]
  13. B. T. Polyak, "Introduction to Optimization" (1980), Nauka
  14. E. M. Vikhtenko, "A duality scheme for solving the semi-coercive Signorini problem with friction", Comput. Math. Math. Phys, (12), pp.1938~1951 (2007)
  15. E. M. Vikhtenko, "Sensitivity functionals in contact problems of elasticity theory", Comput. Math. Math. Phys, 54(7), pp.1190~1200 (2014)
  16. G. Woo, "An iterative method of search for a saddle point for a semicoercive signorini problem based on a modified lagrangian functional", Comp. Math. and Math. Phys, 46(1), pp.23~33 (2006)

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