A Two-Scale Discretization Scheme for Mixed Variational Formulation of Eigenvalue Problems

@inproceedings{Yang2012ATD,
  title={A Two-Scale Discretization Scheme for Mixed Variational Formulation of Eigenvalue Problems},
  author={Yidu Yang and Wei Jiang and Yu Xiang Zhang and Wenjun Wang and Hai Bi},
  year={2012}
}
and Applied Analysis 3 b ·, · is a continuous bilinear form on V ×W , that is, ∣ ∣b ( ψ, v )∣ ∣ ≤M2 ∥ ∥ψ ∥ ∥ V ‖v‖W, ∀ψ ∈ V, v ∈W. 2.2 In scientific and engineering computations, many eigenvalue problems for differential equation have the following 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 andWh ⊂ W… CONTINUE READING
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