[PDF] Top 20 Finite element estimates for a class of nonlinear variational inequalities

... Oden and Reddy [10] obtained some general results for a class of highly nonlinear variational inequalities involving certain psuedo-monotone operators under the assumption that all the s[r] ... See full document

... Nonlinear variational inequalities (VI) and optimal control problems are a significantly important class of problems having a broad range of applications in mathematics, engi- neering, ... See full document

... finite element approximation of a class of elliptic variational inequalities with nonlinear source terms in the context of the Schwarz alternating domain ... See full document

... In this paper, we derive the finite element error estimates for the approximate solution of mildly nonlinear boundary value problems having auxiliary constraint conditions... ulate it in[r] ... See full document

... a class of SPDEs with time-fractional derivatives was introduced, and the existence and unique- ness of solutions to these equations was ...a class of nonlinear fractional stochastic partial ... See full document

... finite element func- tions are Lipschitz continuous, nonconformity of the numerical method is essential for treating problems in that ...of nonlinear variational problems, adaptive so- lution ... See full document

... 13. Glowinski, R: Numerical Methods for Nonlinear Variational Problems. Springer, New York (1984) 14. Strang, G, Fix, G: An Analysis of the Finite Element Method. Prentice Hall, Englewood ... See full document

... In Chapter 6 , we use the method developed earlier to establish a variational formulation for a class of nonlinear vectorial boundary value problems and to derive error estimates for the[r] ... See full document

... that class and has served as a model fluid for developing nu- merical ...a finite element method for the upper-convected Maxwell fluid which is one of the most used viscoelastic ...The ... See full document

... finite element method and a discrete maximum principle, a contraction mapping is associated with the corresponding discrete VI and optimal L ∞ -error estimate is ... See full document

... Stampacchia variational inequality (), minimization problems, general nonlinear inclusions, and fixed point ...of variational inequalities is playing an increasingly central role in the study ... See full document

... This paper is composed of four sections. Section 2 gives assumptions and notations. In Section 3, we introduce the single valued smoothing system corresponding to NCE. Then in Section 4, the relations between the ... See full document

... quasi-variational inequalities is presented by Baiocchi and Capelo ...Evolution variational inequalities have been investigated by Lions and Stampacchia [9], Brézis [2, 3], Duvaut and Lions ... See full document

... as nonlinear differential equations of variational ...the nonlinear mapping h is a Lipschitz con- tinuous from R × V into H, we will find that the most part of the regularity for parabolic ... See full document

... u ∈ K and u is a solution of the generalized nonlinear variational-like inequality (2.2). Proof. It follows from the proof of Theorem 3.1 that there exists a mapping G : K → K satisfying G(u) = w, where w ... See full document

... The present article discussed the higher order variational discretization and mixed finite element methods for the optimal control problems governed by elliptic equa- tions. We have obtained some ... See full document

... non-linear finite element analysis of reinforced concrete slab for various types of panels of slab given in IS ...solid element and 3-D spar element is used for modeling of concrete block and ... See full document

... of nonlinear variational inequalities as well as of nonlinear equations, in several fields such as applied mathematics, mathematical programming, mathematical finance, control theory and ... See full document

... It is to be noted that in all the previous works, it is assumed that the function φ(x, y) is defined on the cartesian product X × X of the same set X. In contrast, in Gg QVI, the function φ(x, y) is defined on the ... See full document

... convex variational problems in Sobolev spaces (see [7] for ...error estimates for the semi-discrete error between the week solution and the Galerkin’s finite ele- ment solution of ... See full document