2024/05/18 by Jindong Wang, Shuonan Wu, Wang, Jindong +1
Physics and Astronomy · Engineering · #NMR spectroscopy and applications #Fluid Dynamics and Turbulent Flows #Hydrocarbon exploration and reservoir analysis
paper · pdf · doi:10.48550/arxiv.2405.11203
In this paper, we present a robust and efficient multigrid solver based on an exponential-fitting discretization for 2D H(curl) convection-diffusion problems. By leveraging an exponential identity, we characterize the kernel of H(curl) convection-diffusion problems and design a suitable hybrid smoother. This smoother incorporates a lexicographic Gauss-Seidel smoother within a downwind type and smoothing over an auxiliary problem, corresponding to H(grad) convection-diffusion problems for kernel correction. We analyze the convergence properties of the smoothers and the two-level method using local Fourier analysis (LFA). The performance of the algorithms demonstrates robustness in both convection-dominated and diffusion-dominated cases.