Error estimates for Yee's method on non-uniform grids
In this paper we analyze the order of convergence of Yee's finite difference time domain method on non-uniform, but rectangular, grids. A simple analysis shows that the local truncation error is only first order, yet numerical experiments show that the method is always second order convergent....
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| Veröffentlicht in: | IEEE transactions on magnetics 1994-09, Vol.30 (5), p.3200-3203 |
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| container_title | IEEE transactions on magnetics |
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| creator | Monk, P. Suli, E. |
| description | In this paper we analyze the order of convergence of Yee's finite difference time domain method on non-uniform, but rectangular, grids. A simple analysis shows that the local truncation error is only first order, yet numerical experiments show that the method is always second order convergent. However, by analyzing the error in more detail, we are able to prove supra-convergence and show that the method is second order convergent regardless of the non-uniformity in the mesh.< > |
| doi_str_mv | 10.1109/20.312618 |
| format | Article |
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A simple analysis shows that the local truncation error is only first order, yet numerical experiments show that the method is always second order convergent. 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| language | eng |
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| source | IEEE/IET Electronic Library (IEL) |
| subjects | Boundary conditions Classical and quantum physics: mechanics and fields Classical electromagnetism, maxwell equations Classical field theories Convergence Dielectrics Error analysis Exact sciences and technology Finite difference methods Finite wordlength effects Grid computing Laboratories Magnetic fields Physics Time domain analysis |
| title | Error estimates for Yee's method on non-uniform grids |
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