numerical analysis
iterative solver method
AdamBashforth methods
nonlinear convergence
Iterative Operator Splitting Method for Coupled Problems: Transport and Electric Fields
Juergen Geiser
Geiser
Juergen
Felix Knuettel
Knuettel
Felix
Institut für Mathematik, HumboldtUniversität zu Berlin (ISSN 08630976), 18 pp.
Iterative Operator Splitting Method for Coupled Problems: Transport and Electric Fields
Juergen Geiser
,
Felix Knuettel
Preprint series:
Institut für Mathematik, HumboldtUniversität zu Berlin (ISSN 08630976), 18 pp.
MSC 2000
 35K15 Initial value problems for secondorder, parabolic equations

35K57 Reactiondiffusion equations
Abstract
In this article a new approach is considered for implementing
operator splitting methods for transport problems, influenced by
eletric fields.
Our motivation came to model PECVD (plasmaenhanced chemical vapor
deposition)
processes, means the flow of species to a gasphase, which are
influenced by an
electric field.
We consider a convectiondiffusion 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 AdamBashforth schemes. We discuss the convergence behavior in
time and space for the
iterative schemes.
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