The domain dependence of dominant Fredholm eigenvalues for the Helmholtz operator
β Scribed by J. Donig
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 482 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In a Hilbert space (H, & } &) is given a dense subspace W and a closed positive semidefinite quadratic form Q on W\_W. Thus W is a Hilbert space with the norm &u& 1 =(&u& 2 +Q(u)) 1Γ2 . For any closed subspace D of (W, & } & 1 ) let A(D) denote the selfadjoint operator in the closure of D in H such
## Abstract Helmholtz equations with variable coefficients are known to be hard to solve both analytically and numerically. In this paper, we introduce a numerical multigrid solver for oneβdimensional Helmholtz eigenvalue problems with periodic potentials and solutions. The solvers employ waveβray