Name
Abstract | ||
|---|---|---|
In this paper, two new energy-conserved splitting methods (EC-S-FDTDI and EC-S-FDTDII) for Maxwell’s equations in two dimensions are proposed. Both algorithms are energy-conserved, unconditionally stable and can be computed efficiently. The convergence results are analyzed based on the energy method, which show that the EC-S-FDTDI scheme is of first order in time and of second order in space, and the EC-S-FDTDII scheme is of second order both in time and space. We also obtain two identities of the discrete divergence of electric fields for these two schemes. For the EC-S-FDTDII scheme, we prove that the discrete divergence is of first order to approximate the exact divergence condition. Numerical dispersion analysis shows that these two schemes are non-dissipative. Numerical experiments confirm well the theoretical analysis results. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s00211-007-0123-9 | Numerische Mathematik |
Keywords | Field | DocType |
numerical experiment,energy-conserved splitting fdtd method,ec-s-fdtdi scheme,ec-s-fdtdii scheme,convergence result,exact divergence condition,theoretical analysis result,electric field,numerical dispersion analysis,new energy-conserved splitting method,discrete divergence,first order,second order,energy conservation,two dimensions | Convergence (routing),Electric field,Divergence,Mathematical analysis,Spacetime,Finite-difference time-domain method,Numerical analysis,Energy method,Mathematics,Maxwell's equations | Journal |
Volume | Issue | ISSN |
108 | 3 | 0945-3245 |
Citations | PageRank | References |
19 | 2.28 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wenbin Chen | 1 | 39 | 6.36 |
| Xingjie Li | 2 | 30 | 3.15 |
| Dong Liang | 3 | 45 | 12.10 |