Modified-operator method for the calculation of band diagrams of crystalline materials

DOI10.1090/mcom/3897arXiv2210.00442MaRDI QIDQ6203460

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Publication date: 28 February 2024

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.00442

zbMATH Keywords

error analysisnumerical analysisperiodic Schrödinger operatorseigenvalue problems on the torus

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Crystalline structure (74E15) Electromagnetic effects in solid mechanics (74F15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical integration (65D30) Statistical mechanics of nanostructures and nanoparticles (82D80)

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