Wave Enhancement Through Optimization of Boundary Conditions
From MaRDI portal
Publication:5214832
DOI10.1137/19M1274651zbMath1430.35171arXiv1907.11170OpenAlexW3004780273MaRDI QIDQ5214832
Oscar P. Bruno, Kthim Imeri, Nilima Nigam, Habib Ammari
Publication date: 5 February 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.11170
Estimates of eigenvalues in context of PDEs (35P15) Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20)
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Cites Work
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- Finding eigenvalues and eigenfunctions of the Zaremba problem for the circle
- Eigenvalue inequalities for the Laplacian with mixed boundary conditions
- Layer potential techniques for the narrow escape problem
- Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -
- Regularized integral formulation of mixed Dirichlet-Neumann problems
- Explicit terms in the small volume expansion of the shift of Neumann Laplacian eigenvalues due to a grounded inclusion in two dimensions
- Perturbation theory for linear operators.
- A boundary integral algorithm for the Laplace Dirichlet-Neumann mixed eigenvalue problem
- Geometric lower bounds for the spectrum of elliptic PDEs with Dirichlet conditions in part
- Geometrical Structure of Laplacian Eigenfunctions
- Mathematical and Computational Methods in Photonics and Phononics
- A mathematical framework for tunable metasurfaces. Part I
- A mathematical framework for tunable metasurfaces. Part II
