Geodesic
Least square method for solving contact problems with friction obeying the Coulomb law
Applications of Mathematics, Tome 29 (1984) no. 3, pp. 212-224
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The paper deals with numerical realization of contact problems with friction obeying the Coulomb law. The original problem is formulated as the fixed-point problem for a certain operator generated by the variational inequality. This inequality is transformed to a system of variational nonlinear equations generating other operators, in a sense "close" to the above one. The fixed-point problem of these operators is solved by the least-square method in which equations and the corresponding quadratic error play the role of the state equations and the cost function, respectively.
The paper deals with numerical realization of contact problems with friction obeying the Coulomb law. The original problem is formulated as the fixed-point problem for a certain operator generated by the variational inequality. This inequality is transformed to a system of variational nonlinear equations generating other operators, in a sense "close" to the above one. The fixed-point problem of these operators is solved by the least-square method in which equations and the corresponding quadratic error play the role of the state equations and the cost function, respectively.
DOI : 10.21136/AM.1984.104086
Classification : 65N30, 73T05, 74A55, 74M15, 74S30, 74S99
Keywords: friction; Coulomb law; variational inequality formulation replaced; in finite dimension by family of nonlinear equations; simultaneous; penalization and regularization; continuous model; finite element discretisation; least squares method 
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Haslinger, Jaroslav. Least square method for solving contact problems with friction obeying the Coulomb law. Applications of Mathematics, Tome 29 (1984) no. 3, pp. 212-224. doi: 10.21136/AM.1984.104086

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