An embedded boundary method for elliptic and parabolic problems with interfaces and application to multi-material systems with phase transitions

DOI10.1016/S0252-9602(10)60059-8zbMath1240.65318OpenAlexW2043881342MaRDI QIDQ550067

Roman Samulyak, Tongfei Guo, Shu-Qiang Wang

Publication date: 19 July 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(10)60059-8

zbMATH Keywords

algorithmStefan problemfront trackingembedded boundary methodelliptic interface problemmelting and solidification problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Moving boundary problems for PDEs (35R37)

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• FronTier