## Abstract The problem of heat conduction in a multiphase medium is a free boundary problem in which the free boundary is the phase transition line. The solution to this problem is highly irregular in that the temperature gradient is discontinuous at the free boundary. Two‐dimensional, discontinuo
A finite element formulation of the outlet gradient boundary condition for convective–diffusive transport problems
✍ Scribed by Fabien Cornaton; Pierre Perrochet; Hans-Jörg Diersch
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 655 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.1188
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This article is a continuation of the work [M. Feistauer et al., Num Methods PDEs 13 (1997), 163-190] devoted to the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Non
## Abstract We propose and analyze in this paper a numerical scheme for nonlinear degenerate parabolic convection–diffusion–reaction equations in two or three space dimensions. We discretize the time evolution, convection, reaction, and source terms on a given grid, which can be nonmatching and can