A Galerkin method for Stefan problems

DOI10.1016/0096-3003(92)90081-BzbMath0768.65077OpenAlexW1973157045MaRDI QIDQ1207807

N. S. Asaithambi

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0096-3003(92)90081-b

zbMATH Keywords

algorithmGalerkin methodnumerical examplesconvection-diffusion problemStefan problemmoving boundaryfinite-element methodpiecewise-linear splinesfinite difference marching methods

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)

Related Items (9)

The iterative transformation method: numerical solution of one-dimensional parabolic moving boundary problems ⋮ Numerical solution of Stefan problems using automatic differentiation ⋮ A variable time step Galerkin method for a one-dimensional Stefan problem ⋮ Modelling laser induced melting. ⋮ Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties ⋮ A numerical solution of the Stefan problem with a Neumann-type boundary condition by enthalpy method. ⋮ Exponential numerical methods for one-dimensional one-phase Stefan problems ⋮ A novel hybrid method based cubic B-spline for one-dimensional Stefan problem with moving PCM, size-dependent thermal conductivity and periodic boundary condition ⋮ Solution to the 1D Stefan problem using the unified transform method

Cites Work

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• 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

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