Geodesic
A mixed finite element method for plate bending with a unilateral inner obstacle
Applications of Mathematics, Tome 39 (1994) no. 1, pp. 25-44
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A unilateral problem of an elastic plate above a rigid interior obstacle is solved on the basis of a mixed variational inequality formulation. Using the saddle point theory and the Herrmann-Johnson scheme for a simultaneous computation of deflections and moments, an iterative procedure is proposed, each step of which consists in a linear plate problem. The existence, uniqueness and some convergence analysis is presented.
A unilateral problem of an elastic plate above a rigid interior obstacle is solved on the basis of a mixed variational inequality formulation. Using the saddle point theory and the Herrmann-Johnson scheme for a simultaneous computation of deflections and moments, an iterative procedure is proposed, each step of which consists in a linear plate problem. The existence, uniqueness and some convergence analysis is presented.
DOI : 10.21136/AM.1994.134241
Classification : 49D29, 65N30, 73K10, 74S05
Keywords: unilateral plate problem; inner obstacle; mixed finite elements; Herrmann-Johnson mixed model; fourth order variational inequality 
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Hlaváček, Ivan. A mixed finite element method for plate bending with a unilateral inner obstacle. Applications of Mathematics, Tome 39 (1994) no. 1, pp. 25-44. doi: 10.21136/AM.1994.134241

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