A new numerical algorithm for 2D moving boundary problems using a boundary element method

DOI10.1016/J.CAMWA.2009.03.115zbMath1189.65217OpenAlexW1993063284MaRDI QIDQ979894

S. A. Meshrif, S. G. Ahmed

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.115

zbMATH Keywords

moving boundary problemsnumerical algorithmsphase change problemsboundary elements methodsablation problems

Mathematics Subject Classification ID

Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (5)

Numerical solution of the time fractional reaction-diffusion equation with a moving boundary ⋮ Radial integration BEM for one-phase solidification problems ⋮ Calculating transport of water from a conduit to the porous matrix by boundary distributed source method ⋮ A numerical study on non-Fourier heat conduction model of phase change problem with variable internal heat generation ⋮ Solution of moving boundary space-time fractional Burger's equation

Cites Work

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• A third order accurate discontinuous finite element method for the one- dimensional Stefan problem
• A boundary element method analysis of temperature fields and stresses during solidification
• A conservative finite element method for one-dimensional Stefan problems with appearing and disappearing phases
• An inverse finite-element technique to determine the change of phase interface location in two-dimensional melting problems
• An analysis of solidification problems by the boundary element method
• An explicit unconditionally stable variable time-step method for one-dimensional stefan problems
• A new algorithm for moving boundary problems subject to periodic boundary conditions

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