Limiting Absorption Principle and Perfectly Matched Layer Method for Dirichlet Laplacians in Quasi-cylindrical Domains

DOI10.1137/110834287zbMath1253.35035arXiv1110.4912OpenAlexW3101190165MaRDI QIDQ2882321

Victor Kalvin

Publication date: 4 May 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4912

zbMATH Keywords

Dirichlet Laplacianperfectly matched layerslimiting absoprtion principlequasi-cylindrical domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Analysis of perfectly matched layer operators for acoustic scattering on manifolds with quasicylindrical ends ⋮ Numerical solution of the regularized logarithmic Schrödinger equation on unbounded domains ⋮ Spectral deformations and exponential decay of eigenfunctions for the Neumann Laplacian on manifolds with quasicylindrical ends ⋮ Isogeometric locally-conformal perfectly matched layer for time-harmonic acoustics ⋮ SPECTRAL DEFORMATIONS FOR QUASICYLINDRICAL DOMAINS

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