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math.NA2024
Highly efficient Gauss's law-preserving spectral algorithms for Maxwell's double-curl source and eigenvalue problems based on eigen-decomposition
Sen Lin, Huiyuan Li, Zhiguo Yang
In this paper, we present Gauss's law-preserving spectral methods and their efficient solution algorithms for curl-curl source and eigenvalue problems in two and three dimensions a…
math.NA2023
An exact divergence-free spectral method for incompressible and resistive magneto-hydrodynamic equations in two and three dimensions
Lechang Qin, Huiyuan Li, Zhiguo Yang
In this paper, we present exact divergence-free spectral method for solving the incompressible and resistive magneto-hydrodynamic (MHD) equations in two and three dimensions, as we…