Efficient Mixed-order FDTD Using the Laguerre Polynomials on Non-uniform Meshes
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Bibliographic record
Abstract
In this paper, we propose a mixed-order approximating method to improve the computational efficiency of the FDTD using the weighted Laguerre polynomial technique. In it, both low-and high-order spatial approximations are used together with a non-uniform mesh; in the interior of a solution domain, a coarse grid is employed and a high-order spatial finite-difference approximation is applied; in a region close to a boundary, a fine grid is used and a low-order spatial finite-difference approximation is applied; As a result, a minimum number of numerical grid cells is used while the boundary handling difficulty with high-order schemes are avoided at no expense of the accuracy and the unconditional stability of the Laguerre-polynomial based FDTD method. Numerical experiments illustrate the effectiveness of the proposed method in improving computational efficiency.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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