Geodesic
Signorini problem with a solution dependent coefficient of friction (model with given friction): Approximation and numerical realization
Applications of Mathematics, Tome 50 (2005) no. 2, pp. 153-171

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Contact problems with given friction and the coefficient of friction depending on their solutions are studied. We prove the existence of at least one solution; uniqueness is obtained under additional assumptions on the coefficient of friction. The method of successive approximations combined with the dual formulation of each iterative step is used for numerical realization. Numerical results of model examples are shown.
DOI : 10.1007/s10492-005-0010-6
Classification : 35J85, 35Q72, 65N30, 74G15, 74M10, 74M15
Keywords: contact problems with given friction; unilateral contact and friction; solution dependent coefficient of friction 
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     title = {Signorini problem with a solution dependent coefficient of friction (model with given friction): {Approximation} and numerical realization},
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Haslinger, Jaroslav; Vlach, Oldřich. Signorini problem with a solution dependent coefficient of friction (model with given friction): Approximation and numerical realization. Applications of Mathematics, Tome 50 (2005) no. 2, pp. 153-171. doi: 10.1007/s10492-005-0010-6

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