Solution of some free boundary problems by relaxation schemes

Authors
Kacur, J
Citation
J. Kacur, Solution of some free boundary problems by relaxation schemes, SIAM J NUM, 36(1), 1998, pp. 290-316
Citations number
30
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
36
Issue
1
Year of publication
1998
Pages
290 - 316
Database
ISI
SICI code
0036-1429(199812)36:1<290:SOSFBP>2.0.ZU;2-K
Abstract
A numerical method is proposed to solve a large number of free boundary pro blems modeled by degenerate doubly nonlinear parabolic, parabolic-elliptic equations and systems. The method is related to one proposed in [W. Jager a nd J. Kacur, Math. Modeling Numer. Anal., 29 (1995), pp. 605-627] and is ba sed on a nonstandard time discretization including two relaxation functions by means of which the diffusion degeneracies (slow and fast) are controlle d.