✦ LIBER ✦

High-Order Scheme for a Nonlinear Maxwell System Modelling Kerr Effect

✍ Scribed by Armel de La Bourdonnaye

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 332 KB
Volume: 160
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2000.6468

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is devoted to the derivation of an efficient numerical scheme for the Kerr-Maxwell system. We begin by studying the 1-D Riemann problem. We obtain a result of existence and uniqueness for large data. Then we develop a high-order Roe solver and exhibit solutions in 1-D and 2-D simulations.

📜 SIMILAR VOLUMES

A novel high-order time-domain scheme fo

A novel high-order time-domain scheme for three-dimensional Maxwell's equations

✍ Zhi-Xiang Huang; Wei Sha; Xian-Liang Wu; Ming-Sheng Chen 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 84 KB

## Abstract A novel high‐order time‐domain scheme with a four‐stage optimized symplectic integrator propagator is presented for 3D electromagnetic scattering problems. The scheme is nondissipative and does not require more storage than the classical finite‐difference time‐domain (FDTD) method. The

A new parallelization strategy for solvi

A new parallelization strategy for solving time-dependent 3D Maxwell equations using a high-order accurate compact implicit scheme

✍ Eugene Kashdan; Barak Galanti 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 332 KB

With progress in computer technology there has been renewed interest in a time-dependent approach to solving Maxwell equations. The commonly used Yee algorithm (an explicit central difference scheme for approximation of spatial derivatives coupled with the Leapfrog scheme for approximation of tempor

Technical note: A fourth-order finite di

Technical note: A fourth-order finite difference scheme for a system of a 2D nonlinear elliptic partial differential equations

✍ Godfrey Saldanha 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 105 KB 👁 2 views

An ILC scheme for a class of nonlinear c

An ILC scheme for a class of nonlinear continuous-time systems with time-iteration-varying parameters subject to second-order internal model

✍ Chenkun Yin; Jian-Xin Xu; Zhongsheng Hou 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 231 KB 👁 2 views

A second-order linearized difference sch

A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Dirichlet boundary value conditions

✍ Ling-Yun Zhang; Zhi-Zhong Sun 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 118 KB

A second-order linearized difference sch

A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions

✍ Ling-yun Zhang; Zhi-zhong Sun 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

## Abstract A linearized three‐level difference scheme on nonuniform meshes is derived by the method of the reduction of order for the Neumann boundary value problem of a nonlinear parabolic system. It is proved that the difference scheme is uniquely solvable and second‐order convergent in __L__~__