A constrained moving finite element solution of the one-dimensional oxygen diffusion with absorption problem

DOI10.1016/0021-9991(92)90414-TzbMath0772.65088OpenAlexW1980114378MaRDI QIDQ1206590

M. J. Baines, R. O. Moody

Publication date: 1 April 1993

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90414-t

zbMATH Keywords

numerical resultsmoving gridadaptive finite element methodmoving- boundary problemmoving-boundary- velocity iterationoxygen diffusion with absorption

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Initial value problems for second-order parabolic equations (35K15)

Related Items

Application of the moving finite element method to moving boundary Stefan problems, A finite difference moving mesh method based on conservation for moving boundary problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moving finite element methods for evolutionary problems. I: Theory
• Variable time step methods for one-dimensional Stefan problem with mixed boundary condition
• Unified approach to simulation on deforming elements with application to phase change problems
• Moving grid method without interpolations
• A Fourier-series Solution of the Crank—Gupta Equation
• Moving Finite Elements. I
• Moving Finite Elements. II
• On the Structure of the Moving Finite-element Equations
• A Method for Solving Moving Boundary Problems in Heat Flow using Cubic Splines or Polynomials
• Numerical Solution of a Diffusion Consumption Problem with a Free Boundary
• A Finite Element Moving Boundary Computation with an Adaptive Mesh
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
• Heat conduction in a melting solid