A Study of Regularization Techniques of Nondifferentiable Optimization in View of Application to Hemivariational Inequalities
暂无分享,去创建一个
[1] L. Qi,et al. Solving variational inequality problems via smoothing-nonsmooth reformulations , 2001 .
[2] Dumitru Motreanu,et al. Nonsmooth Variational Problems and Their Inequalities , 2007 .
[3] Joachim Gwinner,et al. hphp-FEM convergence for unilateral contact problems with Tresca friction in plane linear elastostatics , 2013, J. Comput. Appl. Math..
[4] R. Rogers,et al. An introduction to partial differential equations , 1993 .
[5] Xiaojun Chen,et al. Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities , 1998, Math. Comput..
[6] Mircea Sofonea,et al. Nonlinear Inclusions and Hemivariational Inequalities: Models and Analysis of Contact Problems , 2012 .
[7] Daniel Goeleven,et al. Variational and Hemivariational Inequalities : Theory, Methods and Applications , 2003 .
[8] Xiaojun Chen,et al. Smoothing methods for nonsmooth, nonconvex minimization , 2012, Math. Program..
[9] Karl Kunisch,et al. Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution , 2011, SIAM J. Optim..
[10] E. Zeidler. Nonlinear Functional Analysis and Its Applications: II/ A: Linear Monotone Operators , 1989 .
[11] Olvi L. Mangasarian,et al. A class of smoothing functions for nonlinear and mixed complementarity problems , 1996, Comput. Optim. Appl..
[12] Olvi L. Mangasarian,et al. Smoothing methods for convex inequalities and linear complementarity problems , 1995, Math. Program..
[13] J. Oden,et al. Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .
[14] M. Sofonea,et al. Nonlinear Inclusions and Hemivariational Inequalities , 2013 .
[15] Israel Zang,et al. A smoothing-out technique for min—max optimization , 1980, Math. Program..
[16] Weimin Han,et al. The regularization method for an obstacle problem , 1994 .
[17] S. Migórski. Hemivariational inequality for a frictional contact problem inelasto-piezoelectricity , 2006 .
[18] J. Haslinger,et al. Contact problems with nonmonotone friction: discretization and numerical realization , 2007 .
[19] R. Glowinski,et al. Numerical Analysis of Variational Inequalities , 1981 .
[20] G. Folland. Introduction to Partial Differential Equations , 1976 .
[21] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .
[22] R. Glowinski,et al. Numerical Methods for Nonlinear Variational Problems , 1985 .
[23] Panagiotis D. Panagiotopoulos,et al. Hemivariational Inequalities: Applications in Mechanics and Engineering , 1993 .
[24] P. Panagiotopoulos. Inequality problems in mechanics and applications , 1985 .
[25] Defeng Sun,et al. Smoothing Functions and Smoothing Newton Method for Complementarity and Variational Inequality Problems , 2002 .
[26] E. Zeidler. Nonlinear functional analysis and its applications , 1988 .
[27] P. Panagiotopoulos. Inequality Problems in Mechanics and Applications: Convex and Nonconvex Energy Functions , 1985 .
[28] V. A. Kovtunenko,et al. A hemivariational inequality in crack problems , 2011 .
[29] P. D. Panagiotopoulos,et al. Mathematical Theory of Hemivariational Inequalities and Applications , 1994 .
[30] M. Sofonea,et al. INTEGRODIFFERENTIAL HEMIVARIATIONAL INEQUALITIES WITH APPLICATIONS TO VISCOELASTIC FRICTIONAL CONTACT , 2008 .
[31] Stanisław Migórski,et al. Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction , 2005 .
[32] P. Panagiotopoulos,et al. Finite Element Method for Hemivariational Inequalities: Theory, Methods and Applications , 1999 .
[33] S. Migórski,et al. A Unified Approach to Dynamic Contact Problems in Viscoelasticity , 2006 .
[34] J. Haslinger,et al. Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities , 2005 .
[35] Joachim Gwinner,et al. Nichtlineare Variationsungleichungen mit Anwendungen , 1978 .
[36] Mustafa Ç. Pinar,et al. On Smoothing Exact Penalty Functions for Convex Constrained Optimization , 1994, SIAM J. Optim..
[37] J. Haslinger,et al. Approximation of optimal control problems of hemivariational inequalities , 1992 .
[38] Jaroslav Haslinger,et al. Finite Element Method for Hemivariational Inequalities , 1999 .
[39] M. Sofonea,et al. Variational Inequalities with Applications: A Study of Antiplane Frictional Contact Problems , 2009 .
[40] D. Bertsekas. Nondifferentiable optimization via approximation , 1975 .
[41] Variational principles and convergence of finite element approximations of a holonomic elastic-plastic problem , 1987 .
[42] J. Czepiel. Proximal Bundle Method for simplied unilateral adhesion contact problem of elasticity , 2011 .
[43] F. Facchinei,et al. Finite-Dimensional Variational Inequalities and Complementarity Problems , 2003 .
[44] W. Hager. Review: R. Glowinski, J. L. Lions and R. Trémolières, Numerical analysis of variational inequalities , 1983 .