An energy space finite element approach for elliptic Dirichlet boundary control problems

نویسندگان
چکیده

برای دانلود رایگان 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

An energy space finite element approach for elliptic Dirichlet boundary control problems

In this paper we present a finite element analysis for a Dirichlet boundary control problem where the Dirichlet control is considered in the energy space H1/2(Γ). As an equivalent norm in H1/2(Γ) we use a norm which is induced by a stabilized hypersingular boundary integral operator. The analysis is based on the mapping properties of the solution operators related to the primal and adjoint boun...

متن کامل

Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems

We consider the Galerkin finite element approximation of an elliptic Dirichlet boundary control model problem governed by the Laplacian operator. The functional theoretical setting of this problem uses L2 controls and a “very weak” formulation of the state equation. However, the corresponding finite element approximation uses standard continuous trial and test functions. For this approximation,...

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

Finite element approximation of fractional order elliptic boundary value problems

A finite element numerical method is investigated for fractional order elliptic boundary value problems with homogeneous Dirichlet type boundary conditions. It is pointed out that an appropriate stiffness matrix can be obtained by taking the prescribed fractional power of the stiffness matrix corresponding to the non-fractional elliptic operators. It is proved that this approach, which is also ...

متن کامل

Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems

Mixed control-state constraints are used as a relaxation of originally state constrained optimal control problems for partial differential equations to avoid the intrinsic difficulties arising from measure-valued multipliers in the case of pure state constraints. In particular, numerical solution techniques known from the pure control constrained case such as active set strategies and interior-...

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: Numerische Mathematik

سال: 2014

ISSN: 0029-599X,0945-3245

DOI: 10.1007/s00211-014-0653-x