Iterative Operator Splitting Method for Coupled Problems: Transport and Electric Fields

Authors

  • Jürgen Geiser Department of Mathematics, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany

DOI:

https://doi.org/10.26713/jims.v3i2.45

Keywords:

Numerical analysis, Iterative solver method, Adam-Bashforth methods, Nonlinear convergence

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. We consider a convection-diffusion equation and a Lorence force in the electrostatic case. The iterative splitting schemes is given as an embedded coupling method and we apply such a scheme as a fast solver. The decomposition analysis is discussed for the nonlinear case. Numerical experiments are given with respect to explicit Adam-Bashforth schemes. We discuss the convergence behavior in time and space for the iterative schemes.
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Issue

Vol. 3 No. 2 (2011)

Section

Research Article

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How to Cite

Geiser, J. (2011). Iterative Operator Splitting Method for Coupled Problems: Transport and Electric Fields. Journal of Informatics and Mathematical Sciences, 3(2), 107-125. https://doi.org/10.26713/jims.v3i2.45