A robust solver for H(curl) convection-diffusion and its local Fourier analysis
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913356494929920 |
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| author | Wang, Jindong Wu, Shuonan |
| author_facet | Wang, Jindong Wu, Shuonan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11203 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A robust solver for H(curl) convection-diffusion and its local Fourier analysis Wang, Jindong Wu, Shuonan Numerical Analysis 65F10, 65N30, 65N55, 35Q60 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. |
| title | A robust solver for H(curl) convection-diffusion and its local Fourier analysis |
| topic | Numerical Analysis 65F10, 65N30, 65N55, 35Q60 |
| url | https://arxiv.org/abs/2405.11203 |