Local A Posteriori Error Estimators for Variational Inequalities
نویسنده
چکیده
CCC 0749-159X/93/010023-11 Numerical Methods for Partial Differential Equations, 9, 23-33 (1993) \!:) 1993 John Wiley & Sons, Inc. Local a posteriori error estimators for finite element approximation o( variational inequalities are derived. These are shown to provide upper bounds on the discretization error. Numerical examples are given illustrating the theoretical results. © 1993 John Wiley and Sons, Inc. Local A Posteriori Error Estimators for Variational Inequalities
منابع مشابه
Another view for a posteriori error estimates for variational inequalities of the second kind
In this paper, we give another view to understand a posteriori error analysis for finite element solutions of elliptic variational inequalities of the second kind. This point of view makes it simpler to derive reliable error estimators in solving variational inequalities of the second kind from the theory for related linear variational equations. Reliable residual-based and gradient recovery-ba...
متن کاملA Posteriori Error Estimates for Elliptic Variational Inequalities
We derive hierarchical a posteriori error estimates for elliptic variational inequalities. The evaluation amounts to the solution of corresponding scalar local subproblems. We derive some upper bounds for the e ectivity rates and the numerical properties are illustrated by typical examples.
متن کاملEquivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension
In this paper, we study spectral element approximation for a constrained optimal control problem in one dimension. The equivalent a posteriori error estimators are derived for the control, the state and the adjoint state approximation. Such estimators can be used to construct adaptive spectral elements for the control problems.
متن کاملA posteriori error analysis for a class of integral equations and variational inequalities
We consider elliptic and parabolic variational equations and inequalities governed by integro-differential operators of order 2s ∈ (0, 2]. Our main motivation is the pricing of European or American options under Lévy processes, in particular pure jump processes or jump diffusion processes with tempered stable processes. The problem is discretized using piecewise linear finite elements in space ...
متن کاملA Posteriori Error Estimates for Discontinuous Galerkin Methods of Obstacle Problems
We present a posteriori error analysis of discontinuous Galerkin methods for solving the obstacle problem, which is a representative elliptic variational inequality of the first kind. We derive reliable error estimators of the residual type. Efficiency of the estimators is theoretically explored and numerically confirmed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006