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Some Aspects of Extended General Variational Inequalities
Abstract and Applied Analysis, 2012 Noor (“Extended general variational inequalities,” 2009, “Auxiliary principle technique for extended general variational inequalities,” 2008, “Sensitivity analysis of extended general variational inequalities,” 2009, “Projection iterative methods for ...
Muhammad Aslam Noor
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On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems [PDF]
, 2011 We formulate and analyze an adaptive nonconforming finite element method for the solution of convex variational problems. The class of minimization problems we admit includes highly singular problems for which no Euler–Lagrange equation (or inequality ...
Christoph Ortner +3 more
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Extended Extragradient Methods for Generalized Variational Inequalities
Journal of Applied Mathematics, 2012 We suggest a modified extragradient method for solving the generalized variational inequalities in a Banach space. We prove some strong convergence results under some mild conditions on parameters. Some special cases are also discussed.
Yonghong Yao +3 more
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Regularization and Iterative Methods for Monotone Variational Inequalities
Fixed Point Theory and Applications, 2010 We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discretization of the regularization method.
Xu Hong-Kun, Xu Xiubin
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Hamilton-Pontryagin Integrators on Lie Groups [PDF]
, 2007 In this thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie group are derived from a Hamilton-Pontryagin (HP) variational principle.
Bou-Rabee, Nawaf Mohammed
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Boundary Value Problems, 2017 In this paper, we study the following nonlinear problem of Kirchhoff type: { − ( a + b ∫ R 3 | ∇ u | 2 ) Δ u + λ V ( x ) u = | u | p − 2 u , in R 3 , u ∈ H 1 ( R 3 ) , $$ \textstyle\begin{cases} - ( a + b\int_{{\mathbb{R}^{3}}} \vert {\nabla u} \vert ...
Danqing Zhang, Guoqing Chai, Weiming Liu
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Variational methods in the presence of symmetry
Advances in Nonlinear Analysis, 2013 The purpose of this paper is to survey and to provide a unified framework to connect a diverse group of results, currently scattered in the literature, that can be usefully viewed as consequences of applying variational methods to problems involving ...
Borwein Jonathan M., Zhu Qiji J.
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Self-adaptive subgradient extragradient-type methods for solving variational inequalities
Journal of Inequalities and Applications, 2022 In this paper, we introduce two subgradient extragradient-type algorithms for solving variational inequality problems in the real Hilbert space. The first one can be applied when the mapping f is strongly pseudomonotone (not monotone) and Lipschitz ...
Beibei Ma, Wanyu Wang
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Numerical analysis of a relaxed variational model of hysteresis in two-phase solids [PDF]
, 2001 This paper presents the numerical analysis for a variational formulation of rate-independent phase transformations in elastic solids due to Mielke et al.
Carstensen, Carsten +3 more
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Evaluation and Comparison of the Configuration Interaction Calculations for Complex Atoms
Atoms, 2014 Configuration interaction (CI) methods are the method of choice for the determination of wave functions for complex atomic systems from which a variety of atomic properties may be computed.
Charlotte Froese Fischer
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