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.
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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     author = {Haslinger, Jaroslav},
     title = {Least square method for solving contact problems with friction obeying the {Coulomb} law},
     journal = {Applications of Mathematics},
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     publisher = {mathdoc},
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     zbl = {0557.73100},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104086/}
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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. http://geodesic.mathdoc.fr/articles/10.21136/AM.1984.104086/

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