Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations

• 作者: Jürgen Geiser
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Operator SPLITTING METHOD Initial Value Problems Iterative SOLVER METHOD Stability Analysis Beam Propagation Methods TRANSPORT and MAXWELL Equations
• 年，卷（期）: 2011,（3）
• 页码范围: 163-175
• 页数: 13页
• 分类号: O1

摘要

In this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by electric fields. Our motivation came to model PE-CVD (plasma-enhanced chemical vapor deposition) processes, means the flow of species to a gas-phase, which are influenced by an electric field. Such a field we can model by wave equations. The main contributions are to improve the standard discretization schemes of each part of the coupling equation. So we discuss an improvement with implicit Runge- Kutta methods instead of the Yee’s algorithm. Further we balance the solver method between the Maxwell and Transport equation.