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Finite element approximations of singular parabolic problems

โœ Scribed by M. Paolini; G. Sacchi; C. Verdi

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
970 KB
Volume
26
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

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.

Qi in the solid and liquid regions Q i are described by the equations

SO-

(plus initial and boundary conditions), 0, = 0, =O on S, and by the so-called Stefan condition, which governs the movement of the free boundary S:

๐Ÿ“œ SIMILAR VOLUMES

Two-grid methods for finite volume eleme
Two-grid methods for finite volume element approximations of nonlinear parabolic equations
โœ Chuanjun Chen; Min Yang; Chunjia Bi ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 633 KB

a b s t r a c t Two-grid methods are studied for solving a two dimensional nonlinear parabolic equation using finite volume element method. The methods are based on one coarse-grid space and one fine-grid space. The nonsymmetric and nonlinear iterations are only executed on the coarse grid and the f