论文信息 - Interior penalty methods for finite element approximations of the Signorini problem in elastostatics

Interior penalty methods for finite element approximations of the Signorini problem in elastostatics

Abstract The use of interior penalty methods as a basis for developing finite element approximations of boundary value problems with constraints is explored. Particular attention is given to the Signorini problem of contact of an elastic body with a rigid foundation. Error estimates are derived and the results of a numerical experiment are discussed.

J. T. Oden | J. Oden | S. J. Kim

[1] I. Babuska. The finite element method with Lagrangian multipliers , 1973 .

[2] A NOTE ON THE SEQUENTIAL UNCONSTRAINED MINIMIZATION TECHNIQUE FOR NON-LINEAR PROGRAMMING * , 1965 .

[3] O. C. Zienkiewicz,et al. Reduced integration technique in general analysis of plates and shells , 1971 .

[4] Juhani Pitkäranta,et al. Boundary subspaces for the finite element method with Lagrange multipliers , 1979 .

[5] Anthony V. Fiacco,et al. Nonlinear programming;: Sequential unconstrained minimization techniques , 1968 .

[6] D. Louvish,et al. Variational Method and Method of Monotone Operators in the Theory of Nonlinear Equations , 1974 .

[7] F. Brezzi. On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers , 1974 .

[8] Anthony V. Fiacco,et al. Generalized Penalty Methods in Topological Spaces , 1969 .

[9] A. Fiacco. Penalty methods for mathematical programming inEnwith general constraint sets , 1970 .

[10] J. Lions,et al. Inequalities in mechanics and physics , 1976 .