Layer potential approach for fast eigenvalue characterization of the Helmholtz equation with mixed boundary conditions
Journal Article
·
· Computational and Applied Mathematics
- ESPCI ParisTech, CNRS UMR 7587, Institut Langevin (France)
- Ecole Polytechnique, Centre de Mathématiques Appliquées (France)
Our goal is to propose an efficient approach to characterize the eigenvalues and eigenfunctions of the Helmholtz equation with mixed (Dirichlet and Neumann) boundary conditions. Our approach is based on layer potentials. We extend the eigenvalue characterization known for Neumann boundary conditions to the case of mixed boundary conditions. The problem is motivated by the need of such methods for real-time wave-field shaping by electronically tunable surfaces.
- OSTI ID:
- 22769230
- Journal Information:
- Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 4 Vol. 37; ISSN 0101-8205
- Country of Publication:
- United States
- Language:
- English
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