Search Results - "Namm, R. V."
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Duality Method for Solving 3D Contact Problems with Friction
Published in Computational mathematics and mathematical physics (01-07-2023)“…The article studies a 3D contact problem with Coulomb friction for an elastic body resting on a rigid support. The solution of the quasi-variational…”
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Solution of a Contact Elasticity Problem with a Rigid Inclusion
Published in Computational mathematics and mathematical physics (01-04-2019)“…An equilibrium problem for an elastic body containing a rigid inclusion is solved. There is a delamination crack on a portion of the interface between the…”
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A modified dual scheme for solving an elastic crack problem
Published in Numerical analysis and applications (2017)“…A dual scheme for solving a crack problem in terms of displacements is considered. The dual solution method is based on a modified Lagrange functional. The…”
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4
A method of successive approximations for solving the quasi-variational Signorini inequality
Published in Russian mathematics (2017)“…We solve the semicoercive quasi-variational Signorini inequality that corresponds to the contact problem with friction known in the elasticity theory by a…”
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5
Sensitivity functionals in contact problems of elasticity theory
Published in Computational mathematics and mathematical physics (01-07-2014)“…The sensitivity functional constructed for the variational elasticity problem with given friction is proved to be lower semicontinuous. An analysis based on…”
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6
Finite-element solution of a model mechanical problem with friction based on a smoothing Lagrange multiplier method
Published in Computational mathematics and mathematical physics (2012)“…The convergence of the finite element method in a stable smoothing algorithm for solving a model problem with given friction based on an iterative proximal…”
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7
Stable smoothing method for solving a model mechanical problem with friction
Published in Computational mathematics and mathematical physics (01-06-2011)“…A solution algorithm with a modified Lagrangian functional is studied as applied to a semicoercive model problem with friction…”
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On the convergence of the Uzawa method with a modified Lagrangian functional for variational inequalities in mechanics
Published in Computational mathematics and mathematical physics (01-08-2010)“…For the scalar semicoercive Signorini problem, the dual problem is constructed on the basis of a modified Lagrangian functional. The convergence of the…”
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Solving the quasi-variational Signorini inequality by the method of successive approximations
Published in Computational mathematics and mathematical physics (01-05-2009)“…The method of successive approximations is examined as a tool for solving the semicoercive quasi-variational Signorini inequality. The auxiliary problems with…”
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On the convergence rate of the finite element method in a semicoercive problem with friction
Published in Differential equations (01-10-2009)“…We estimate the convergence rate of the finite element method in the minimization problem for a semicoercive nondifferentiable functional arising in the study…”
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Duality scheme for solving the semicoercive signorini problem with friction
Published in Computational mathematics and mathematical physics (01-12-2007)“…The iterative Uzawa method with a modified Lagrangian functional is used to numerically solve the semicoercive Signorini problem with friction…”
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12
Solution of the static contact problem with Coulomb friction between an elastic body and a rigid foundation
Published in Journal of computational and applied mathematics (01-02-2023)“…We consider a static contact problem between an elastic body and an absolutely rigid foundation with Signorini contact conditions and Coulomb friction law. The…”
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Iterative proximal regularization of the modified Lagrangian functional for solving the quasi-variational Signorini inequality
Published in Computational mathematics and mathematical physics (01-09-2008)“…The iterative Uzawa method with a modified Lagrangian functional is used to numerically solve the semicoercive Signorini problem with friction…”
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An iterative method based on a modified Lagrangian functional for finding a saddle point in the semicoercive Signorini problem
Published in Computational mathematics and mathematical physics (01-01-2006)“…The iterative Uzawa method with a modified Lagrangian functional is examined in the framework of the Signorini problem.[PUBLICATION ABSTRACT]…”
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15
Iterative proximal regularization method for finding a saddle point in the semicoercive Signorini problem
Published in Computational mathematics and mathematical physics (01-11-2006)“…An algorithm for seeking a saddle point for the semicoercive variational Signorini inequality is studied. The algorithm is based on an iterative proximal…”
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Sensitivity functionals in variational inequalities of mechanics and their applications to duality schemes
Published in Numerical analysis and applications (2014)“…The characteristic properties of sensitivity functionals in variational inequalities of mechanics are investigated using a scalar Signorini problem as an…”
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17
Modified lagrange functionals to solve the variational and quasivariational inequalities of mechanics
Published in Automation and remote control (01-04-2012)“…Consideration was given to the methods of solving the model problem with friction and the contact problem of the elasticity theory with a given friction which…”
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18
Solution of a semicoercive Signorini problem by a method of iterative proximal regularization of a modified Lagrange functional
Published in Russian mathematics (01-04-2010)“…Duality methods based on classical schemes for constructing Lagrange functional are inapplicable for solving semicoercive variational inequalities in…”
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19
Iterative proximal regularization of a modified Lagrangian functional for solving a semicoercive model problem with friction
Published in Numerical analysis and applications (01-10-2011)“…A problem of unconstrained minimization of a semicoercive nondifferentiable functional corresponding to a model friction problem is reduced to a problem of…”
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20
The lagrange multiplier method for solving a semicoercive model problem with friction
Published in Numerical analysis and applications (01-10-2009)“…In model problems with friction, unconditional minimization of a nondifferentiable functional is reduced to conditional minimization of a differentiable…”
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