A constrained moving finite element solution of the one-dimensional oxygen diffusion with absorption problem
type: Item
instance of: scholarly article
title: A constrained moving finite element solution of the one-dimensional oxygen diffusion with absorption problem
zbMATH Open document ID: 0772.65088
DOI: 10.1016/0021-9991(92)90414-T
author: R. O. Moody
author: M. J. Baines
published in: Journal of Computational Physics
publication date: 1993-04-01T00:00:00Z
review text: An adaptive finite element method is derived for the numerical solution of a one-dimensional, implicit, moving-boundary problem: the oxygen diffusion with absorption problem of \textit{J. Crank} and \textit{R. S. Gupta} [J. Inst. Math. Appl. 10, 19-33 (1972; Zbl 0247.65064) and ibid. 10, 296- 304 (1972; Zbl 0299.65049)]. The method includes a moving grid adapted to the moving boundary. A moving-boundary-velocity iteration procedure is described. Numerical results in one dimension are presented. An extension of the method to two dimensions is suggested.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 149165
zbMATH Keywords: moving grid
zbMATH Keywords: numerical results
zbMATH Keywords: adaptive finite element method
zbMATH Keywords: moving- boundary problem
zbMATH Keywords: oxygen diffusion with absorption
zbMATH Keywords: moving-boundary- velocity iteration
reviewed by: Pavel Burda
MaRDI profile type: Publication
cites work: A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
cites work: A Method for Solving Moving Boundary Problems in Heat Flow using Cubic Splines or Polynomials
cites work: Q3338613
cites work: Moving grid method without interpolations
cites work: Q4064509
cites work: Heat conduction in a melting solid
cites work: Numerical Solution of a Diffusion Consumption Problem with a Free Boundary
cites work: Q3933378
cites work: A Finite Element Moving Boundary Computation with an Adaptive Mesh
cites work: Variable time step methods for one-dimensional Stefan problem with mixed boundary condition
cites work: A Fourier-series Solution of the Crank—Gupta Equation
cites work: Moving Finite Elements. I
cites work: Moving Finite Elements. II
cites work: Q3718645
cites work: On the Structure of the Moving Finite-element Equations
cites work: Moving finite element methods for evolutionary problems. I: Theory
cites work: Unified approach to simulation on deforming elements with application to phase change problems
cites work: Q3892214
full work available at URL: 0021-9991(92)90414-t
OpenAlex ID: W1980114378
description: scientific article; zbMATH DE number 149165