Finite element analysis of diffusion with reaction at a moving boundary
type: Item
instance of: scholarly article
title: Finite element analysis of diffusion with reaction at a moving boundary
zbMATH Open document ID: 0681.65096
DOI: 10.1016/0021-9991(88)90087-3
author: Paul Murray
author: Graham F. Carey
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: The authors model an isothermal chemical reaction occurring at an unknown moving boundary. The one-dimensional mathematical formulation leads to two coupled differential equations, the first one being partial and the second one ordinary. A variational approach combined with suitable transformation of spatial variable gives an integral identity. The finite element approximation yields a semidiscrete system of ordinary differential equations. This one, after nondimensionalization, is integrated with help of predictor and predictor-corrector methods. Special attention is devoted to quasi-state case when diffusion is very strong in comparison to reaction. For this case, analytical solution, finite element solution and solution obtained via perturbation method are compared. The first-order and second-order reaction rate are tested numerically.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 4115902
zbMATH Keywords: reaction-diffusion
zbMATH Keywords: quasi-state process
zbMATH Keywords: numerical examples
zbMATH Keywords: isothermal chemical reaction
zbMATH Keywords: moving boundary
zbMATH Keywords: finite element
zbMATH Keywords: predictor-corrector methods
reviewed by: S. Burys
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90087-3
OpenAlex ID: W1975440408
cites work: Q3682852
cites work: Q3678248
cites work: Unified approach to simulation on deforming elements with application to phase change problems
cites work: Continuously deforming finite elements
description: scientific article; zbMATH DE number 4115902