ANALYSIS OF CONNECTIONS IN TWO-DIMENSIONAL STRESS BY VARIATIONAL METHODS (I) : Some methods by variational ones

Variational Methods in Convex Analysis

We use variational methods to provide a concise development of a number of basic results in convex and functional analysis. This illuminates the parallels between convex analysis and smooth subdifferential theory. 1. The purpose of this note is to give a concise and explicit account of the following folklore: several fundamental theorems in convex analysis such as the sandwich theorem and the F...

Variational Methods in Shape Analysis

The concept of a shape space is linked both to concepts from geometry and from physics. On one hand, a path-based viscous flow approach leads to Riemannian distances between shapes, where shapes are boundaries of objects that mainly behave like fluids. On the other hand, a state-based elasticity approach induces a (by construction) non-Riemanniandissimilaritymeasure between shapes, which is giv...

Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods

Some new projection methods for variational inequalities

In this paper, we propose some new double-projection methods for solving variational inequalities by using the Wiener–Hopf equations technique. It is shown that these methods converge linearly under mild conditions and include some existing projection methods as special cases. Some examples are given to illustrate the efficiency of the proposed methods. 2002 Elsevier Science Inc. All rights res...

Some resolvent methods for general variational inclusions

osting by E Abstract In this paper, we consider and analyze some classes of resolvent-splitting methods for solving the general variational inclusions using the technique of updating the solution. These resolvent-splitting methods are self-adaptive-type methods, where the corrector step size involves the resolvent equation. We prove that the convergence of these new methods only require the pse...