Name
Title | ||
|---|---|---|
Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension |
Abstract | ||
|---|---|---|
•A nonlinear optical model, Kerr-Debye-Lorentz model, is considered.•1st order in time methods are asymptotic positivity preserving and energy stable.•A novel exponential time integrator is designed to achieve 2nd order time accuracy.•A special discretization of the constitutive law leads to energy stability.•Nodal DG methods of any order are applied in space to effectively handle nonlinearity. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.jcp.2019.109101 | Journal of Computational Physics |
Keywords | Field | DocType |
Full Maxwell's equations,Nonlinear media,Kerr-Debye with linear Lorentz,Asymptotic preserving,Positivity preserving,Energy stable | Discontinuous Galerkin method,Differential equation,Discretization,Nonlinear system,Wave propagation,Mathematical analysis,Lorentz transformation,Numerical analysis,Mathematics,Ode | Journal |
Volume | ISSN | Citations |
402 | 0021-9991 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhichao Peng | 1 | 0 | 0.34 |
| V. A. Bokil | 2 | 16 | 4.43 |
| Yingda Cheng | 3 | 201 | 20.27 |
| Fengyan Li | 4 | 268 | 24.60 |