Exact artificial boundary conditions for problems with periodic structures

DOI10.1016/j.jcp.2008.03.042zbMath1152.65100OpenAlexW2034815835MaRDI QIDQ933297

Chunxiong Zheng, Matthias Ehrhardt

Publication date: 21 July 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.03.042

zbMATH Keywords

numerical examplesunbounded domainSchrödinger equationperiodic potentialhyperbolic equationwaveguideartificial boundary conditions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order hyperbolic equations (35L15)

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Cites Work

• Nonreflecting boundary conditions for the time-dependent wave equation
• Non-reflecting boundary conditions
• Plasma waves in two-dimensional electron channels: propagation and trapped modes
• Semigroups of linear operators and applications to partial differential equations
• Analysis of periodically time-varying systems
• Numerical solution of problems on unbounded domains. A review
• Floquet multipliers of periodic waveguides via Dirichlet-to-Neumann maps
• Floquet theory for partial differential equations
• Semiconductor superlattices: a model system for nonlinear transport
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