A Method for Computing Guided Waves in Integrated Optics. Part II: Numerical Approximation and Error Analysis

DOI10.1137/S0036142900377711zbMath1017.65085MaRDI QIDQ4539389

María Dolores Gómez Pedreira, Patrick Joly

Publication date: 8 July 2002

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

zbMATH Keywords

convergenceerror estimatestransparent boundary conditionseigenvalue problemsreduced wave equationintegrated opticsFourier series expansions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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