Approximation of the Heat Equation in a Variable Domain with Application to the Stefan Problem

DOI10.1137/0726020zbMath0681.65091OpenAlexW2042390832MaRDI QIDQ4730733

Rachid Touzani, Pierre Lesaint

Publication date: 1989

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0726020

zbMATH Keywords

heat equationerror boundsStefan problemmoving boundarysemidiscretizationCrank-Nicolson schemeNumerical results

Mathematics Subject Classification ID

Heat equation (35K05) Thermodynamics of continua (80A17) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Method of lines for boundary value problems involving PDEs (65N40)

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High-order finite element methods for moving boundary problems with prescribed boundary evolution ⋮ A mathematical model for the dissolution of particlesin multi-component alloys ⋮ A numerical method to compute the dissolution of second phases in ternary alloys

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