A Two-Scale Discretization Scheme for Mixed Variational Formulation of Eigenvalue Problems
نویسندگان
چکیده
منابع مشابه
A two-grid discretization scheme for eigenvalue problems
A two-grid discretization scheme is proposed for solving eigenvalue problems, including both partial differential equations and integral equations. With this new scheme, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a much coarser grid, and the solution of a linear algebraic system on the fine grid and the resulting solution still ma...
متن کاملMultigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field
and Applied Analysis 3 In scientific and engineering computations, many eigenvalue problems have the following first type of mixed variational formulation: find λ, u, σ ∈ R × V × W , u, σ / 0, 0 , such that a ( u, ψ ) b ( ψ, σ ) λ ( u, ψ ) D, ∀ψ ∈ V, 2.3 b u, v 0, ∀v ∈ W. 2.4 In order to solve problem 2.3 2.4 , one should construct finite element spaces Vh ⊂ V and Wh ⊂ W . Restricting 2.3 2.4 o...
متن کاملVARIATIONAL DISCRETIZATION AND MIXED METHODS FOR SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS WITH INTEGRAL CONSTRAINT
The aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discreted. Optimal error estimates in L2 are established for the state...
متن کاملA two-grid discretization scheme for the Steklov eigenvalue problem
In the paper, a two-grid discretization scheme is discussed for the Steklov eigenvalue problem. With the scheme, the solution of the Steklov eigenvalue problem on a fine grid is reduced to the solution of the Steklov eigenvalue problem on a much coarser grid and the solution of a linear algebraic system on the fine grid. Using spectral approximation theory, it is shown theoretically that the tw...
متن کاملVariational inequality formulation of circular cone eigenvalue complementarity problems
In this paper, we study the circular cone eigenvalue complementarity problem (CCEiCP) by variational inequality technique, prove the existence of a solution to CCEiCP, and investigate different nonlinear programming formulations of the symmetric and asymmetric CCEiCP, respectively. We reduce CCEiCP to a variational inequality problem on a compact convex set, which guarantees that CCEiCP has at ...
متن کاملذخیره 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: Abstract and Applied Analysis
سال: 2012
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2012/812914