Results 41 to 50 of about 36,338,648 (351)
An Auxiliary Variational Method [PDF]
, 2004 An attractive feature of variational methods used in the context of approximate inference in undirected graphical models is a rigorous lower bound on the normalization constants. Here we explore the idea of using augmented variable spaces to improve on the standard mean-field bounds.
Felix V. Agakov, David Barber
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Variational Methods in Convex Analysis [PDF]
Journal of Global Optimization, 2006 The authors use variational arguments, namely minimization arguments and decoupling mechanisms, to derive some fundamental theorems in convex analysis. Many important result in linear functional analysis can then be deduced as special cases.
Jonathan M. Borwein, Qiji J. Zhu
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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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Crystalline variational methods [PDF]
Proceedings of the National Academy of Sciences, 2002 A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies.
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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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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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On analysis error covariances in variational data assimilation [PDF]
, 2008 The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find the initial condition function (analysis).
Shutyaev, V. +5 more
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