A collocation-based spectral element method for computing nonlinear optical waveguide

DOI10.1080/00207160.2022.2141055zbMath1524.65641OpenAlexW4307722274MaRDI QIDQ6161024

Hanquan Wang, Ronghua Cheng, Unnamed Author

Publication date: 26 June 2023

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2022.2141055

zbMATH Keywords

iterative algorithmoptical waveguidecollocation-based spectral element method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) General topics in linear spectral theory for PDEs (35P05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Antennas, waveguides in optics and electromagnetic theory (78A50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Cites Work

• Numerical analysis of nonlinear eigenvalue problems
• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Non-self-adjointness of bent optical waveguide eigenvalue problem
• The spectral-Galerkin approximation of nonlinear eigenvalue problems
• A splitting Chebyshev collocation method for Schrödinger-Poisson system
• A splitting Fourier pseudospectral method for Vlasov-Poisson-Fokker-Planck system
• A Fourier collocation method for Schrödinger-Poisson system with perfectly matched layer
• Spectral Methods

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