Spectral Solvers of Maxwell’s Equations in Particle-in-Cell Codes: Numerical Schemes and Parallel Implementation

• Published in: Lobachevskii journal of mathematics Vol. 46; no. 1; pp. 133 - 142
• Main Author: Panova, E.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.01.2025; Springer Nature B.V
• Subjects: Algebra; Analysis; Computational grids; Electromagnetic fields; Fast Fourier transformations; Finite difference time domain method; Geometry; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Maxwell's equations; Particle in cell technique; Perfectly matched layers; Probability Theory and Stochastic Processes; Solvers; finite-difference solvers; particle-in-cell; perfectly matched layer (PML); performance; 2010 Mathematics Subject Classification: 37M05, 65Y05, 65Z05; spectral solvers; total-field/scattered-field boundary (TFSF)

To solve Maxwell’s equations, particle-in-cell (PIC) simulation codes typically use the Finite-Difference Time-Domain (FDTD) method, which is subject to numerical dispersion. In contrast, spectral solvers are free of numerical dispersion effects and provide a high-quality solution. This paper discus...