A variable time step Galerkin method for a one-dimensional Stefan problem

DOI10.1016/0096-3003(95)00329-0zbMath0870.65130OpenAlexW2023783050MaRDI QIDQ1354179

N. S. Asaithambi

Publication date: 17 September 1997

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00329-0

zbMATH Keywords

moving boundary problemStefan problemevaporation of dropletssemi-discrete Galerkin methodvariable time-step method

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method. ⋮ Numerical solutions of the one-phase classical Stefan problem using an enthalpy Green element formulation ⋮ Numerical schemes for one-dimensional Stefan-like problems with a forcing term

Cites Work

• Variable time-step method with coordinate transformation
• On the numerical integration of a parabolic differential equation subject to a moving boundary condition
• Constrained integral method for solving moving boundary problems
• On a variable time-step method for the one-dimensional Stefan problem
• A modified variable time step method for the one-dimensional Stefan problem
• A Galerkin method for Stefan problems
• TWO METHODS FOR THE NUMERICAL SOLUTION OF MOVING-BOUNDARY PROBLEMS IN DIFFUSION AND HEAT FLOW
• A Comparative Study of Numerical Methods for Moving Boundary Problems
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
• Heat conduction in a melting solid
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A variable time step Galerkin method for a one-dimensional Stefan problem