[PDF] Top 20 Error estimates for the finite element solutions of variational inequalities

... 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

... finite element approximation of a class of variational inequalities (VI) and quasi-variational inequalities (QVI) with the right-hand side depending upon the ...uniform error ... See full document

... finite element methods are a successful choice for solving the optimal control ...finite element approxima- tion for optimal control ...finite element method for optimal control problems can be found in ... See full document

... finite element method to deal with fourth order hyperbolic optimal control ...posteriori error estimates and superconvergence of mixed finite element solution for fourth order hyperbolic optimal ... See full document

... of solutions for a unilateral boundary value problems for second order equation governed by the variational ...finite element approximation and its explicit error estimates for the ...of ... See full document

... In the literature there are computational results for PDE optimal control problems with objective functionals that contain point evaluations of the state. However we have not found any literature that contains a ... See full document

... a finite element method for the upper-convected Maxwell fluid which is one of the most used viscoelastic ...least-squares finite element method is applied to solve the linear equa- ...tions. ... See full document

... their error estimates and prove a main result concerning the error estimate of solution in the L ∞ -norm, taking into account the combination of geometrical convergence and uniform convergence ... 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

... weak solutions for fractional stochastic Navier–Stokes ...finite element method and the time discretization is obtained by the backward Eu- ler ...the error estimates for the corresponding ... See full document

... of solutions to these equations was proved. The existence of mild solutions for a class of nonlinear fractional stochastic partial differential equations has been discussed in ...mild solutions for a ... See full document

... 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

... and the set of solutions of new variational inequalities problems in Hilbert space. By using our main results, we obtain an interesting theorem involving a finite family of κ -strictly ... See full document

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

... order variational discretization and mixed finite element approximation for optimal control problems governed by elliptic ...priori error estimates for the higher order ... See full document

... posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic ...posteriori error estimates for both the state and ... See full document

... We obtain some existence results for a system of variational inequalities for short, denoted by SVI by Brouwer fixed point theorem. We also establish the existence and uniqueness theorem using the ... See full document

... 3. Solving algorithm. The case of continuous measuring of phase states First, we consider the case of “continuous” measurement of solutions of inequalities (1) and (3). In this case, inequalities (7) ... See full document

... nonzero solutions and multiple solutions for the following class of bilinear variational inequalities in reflexive Banach spaces by fixed point index approach, which has been applied ... See full document

... of finite variational inequalities for finite different inverse-strongly accretive operators and solutions of fixed point problems for a nonexpansive mapping in a Banach space by using ... See full document