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Finite element approximations of singular parabolic problems
Author(s) -
Paolini M.,
Sacchi G.,
Verdi C.
Publication year - 1988
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620260907
Subject(s) - discretization , finite element method , mathematics , linearization , stefan problem , boundary (topology) , mathematical analysis , mathematical optimization , nonlinear system , engineering , physics , structural engineering , quantum mechanics
An efficient implementation of finite element methods for free boundary parabolic problems in general two dimensional space domains is presented. The Stefan problem, the Hele‐Shaw problem and the porous medium equation are included. Backward differences or linearization techniques are used for the time discretization of the problem. The performances of these schemes are discussed with several numerical tests.