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Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations
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American Journal of Computational Mathematics·Volume 01 (2011)·Pages 163–175·Published 19 September 2011·DOI10.4236/ajcm.2011.13019
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Abstract
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.
KeywordsOperator Splitting MethodInitial Value ProblemsIterative Solver MethodStability AnalysisBeam Propagation MethodsTransport and Maxwell Equations
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