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Solution of semicoercive Signorini problem based on a duality scheme with modified Lagrangian functional

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In this paper, the iterative Uzawa method with a modified Lagrangian functional is investigated to seek a saddle point for the semicoercive variational Signorini inequality.

Abstract

In this paper, the iterative Uzawa method with a modified Lagrangian functional is investigated to seek a saddle point for the semicoercive variational Signorini inequality.

참고문헌 (9)

  1. G. Duvaut, "Inequalities in Mechanics and Physics" (1980), Springer-Verlag
  2. G. Fikera, "Existence Theorems in Elasticity" (1980), Springer-Verlag
  3. I. Glavacek, "Numerical Solution of Variational Inequalities" (1986), Springer-Verlag
  4. R. Glowinski, "Numerical Methods for Nonlinear Variational Problems" (1984), Springer-Verlag
  5. R. Glowinski, "Numerical Analysis of Variational In- equalities" (1981), North-Holland
  6. N. Kikuchi, "Contact Problem in Elasticity: A Study of Variational Inequal- ities and Finite Element Methods" (1988), SIAM
  7. R. V. Namm, "Solution of the quasi-variational Signorini inequality by the method of successive approximations", Comput. Math. Math. Phys, 49(5), pp.776~785 (2009)
  8. G. Vu, "The method of iterative proximal regu- larization for finding a saddle point in the semi-coercive Signorini problem", Comput. Math. Math. Phys, 46(11), pp.1932~1939 (2006)
  9. G. Woo, "An iterative method, based on a modified Lagrange functional, for nding a saddle point for the semi-coercive Signorini problem", Comput. Math. Math. Phys, 46(1), pp.23~33 (2006)

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