Adaptive step-size control in simulation of diffusive CVD processes
type: Item
instance of: scholarly article
title: Adaptive step-size control in simulation of diffusive CVD processes
zbMATH Open document ID: 1179.93112
DOI: 10.1155/2009/728105
author: Jürgen Geiser
author: Christian Fleck
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45893
review text: Summary: We present control strategies of a diffusion process for chemical vapor deposition for metallic bipolar plates. In the models, we discuss the application of different models to simulate the plasma-transport of chemical reactants in the gas-chamber. The contribution are an optimal control problem based on a PID control to obtain a homogeneous layering. We have taken into account one- and two-dimensional problems that are given with constraints and control functions. A finite-element formulation with adaptive feedback control for time-step selection has been developed for the diffusion process. The optimization is presented with efficient algorithms. Numerical experiments are discussed with respect to the diffusion processes of the macroscopic model.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 5632535
zbMATH Keywords: control strategies of a diffusion process
zbMATH Keywords: finite-element formulation
zbMATH Keywords: adaptive feedback control
Wikidata QID: Q58649462
describes a project that uses: UG
describes a project that uses: RODAS
MaRDI profile type: Publication
OpenAlex ID: W2015554036
cites work: Modeling and simulation of a chemical vapor deposition
cites work: Control strategies for timestep selection in simulation of coupled viscous flow and heat transfer
cites work: An Asymptotic Analysis for a Model of Chemical Vapor Deposition on a Microstructured Surface
cites work: UG -- a flexible software toolbox for solving partial differential equations
cites work: Discretization methods with embedded analytical solutions for convection-diffusion dispersion-reaction equations and applications
cites work: Finite Volume Methods for Hyperbolic Problems
cites work: Q4421310
cites work: Q4714145
cites work: On the convergence and local splitting error of different splitting schemes
cites work: One-Parameter Semigroups for Linear Evolution Equations
description: scientific article; zbMATH DE number 5632535