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- Title
A finite element method for a unidimensional single-phase nonlinear free boundary problem in groundwater flow.
- Authors
Liang, D; Zhang, B
- Abstract
Presents a finite element solution for a unidimensional, single-phase nonlinear Stefan problem for groundwater flow with nonlinear source and permeance terms and free-boundary function-dependent Dirichlet boundary conditions. Partial differential equations; Free boundary immobilization by Landau transformation and a homogeneous transformation; Global existence of the approximate solution; Error estimates.
- Subjects
NUMERICAL solutions to nonlinear differential equations; NUMERICAL solutions to partial differential equations; NUMERICAL solutions to boundary value problems; GROUNDWATER flow; FINITE element method; MATHEMATICAL models
- Publication
IMA Journal of Numerical Analysis, 1999, Vol 19, Issue 4
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/19.4.563