A Nitsche-eXtended Finite Element Method for Distributed Optimal Control Problems of Elliptic Interface Equations

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems

In this paper, sharp a posteriori error estimators are derived for a class of distributed elliptic optimal control problems. These error estimators are shown to be useful in adaptive finite element approximation for the optimal control problems and are implemented in the adaptive approach. Our numerical results indicate that the sharp error estimators work satisfactorily in guiding the mesh adj...

متن کامل

Nitsche finite element method for parabolic problems

This paper deals with a method for the numerical solution of parabolic initialboundary value problems in two-dimensional polygonal domains Ω which are allowed to be non-convex. The Nitsche finite element method (as a mortar method) is applied for the discretization in space, i.e. non-matching meshes are used. For the discretization in time, the backward Euler method is employed. The rate of con...

متن کامل

Finite Element Approximation of Elliptic Dirichlet Optimal Control Problems

In this paper, we present a priori error analysis for the finite element discretization of elliptic optimal control problems, where a finite dimensional control variable enters the Dirichlet boundary conditions. The analysis of finite element approximations of optimization problems governed by partial differential equations is an area of active research, see, e.g., [1, 12, 17, 18]. The consider...

متن کامل

A Splitting Least-squares Mixed Finite Element Method for Elliptic Optimal Control Problems

In this paper, we propose a splitting least-squares mixed finite element method for the approximation of elliptic optimal control problem with the control constrained by pointwise inequality. By selecting a properly least-squares minimization functional, we derive equivalent two independent, symmetric and positive definite weak formulation for the primal state variable and its flux. Then, using...

متن کامل

Erratum to: A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Example 6.2 For the second example, we consider the stabilized parameters μ = δ = 0.5. Table 2 shows that a first-order convergence is obtained for the control, which is well matched with the theoretical analysis. Figures 4, 5, and 6 show the approximate profiles of the control, the state, and the flux state, respectively, when the lowest order RT element is adopted for the approximation of the...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Computational Methods in Applied Mathematics

سال: 2020

ISSN: 1609-9389,1609-4840

DOI: 10.1515/cmam-2018-0256