The boundary element method applied to moving boundary problems

DOI10.1016/0895-7177(90)90164-IzbMath0723.73087OpenAlexW1999264981MaRDI QIDQ757177

Mark E. Oxley, Dennis W. Quinn

Publication date: 1990

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(90)90164-i

zbMATH Keywords

diffusionone spatial dimensionGreen's identityice meltingheat conduction problemunknown functiontwo spatial dimensionslocation of the free boundarynonlinear system of integral equations

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free boundary problems for PDEs (35R35)

Related Items (2)

Calculating transport of water from a conduit to the porous matrix by boundary distributed source method ⋮ A second order accurate fixed-grid method for multi-dimensional Stefan problem with moving phase change materials

Cites Work

• Classes of solutions of linear systems of partial differential equations of parabolic type
• An alternating direction method for multi-dimensional parabolic free surface problems
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