Abstract
Domain transformation methods are useful techniques for solving problems on non-stationary domains. In this work, we consider the evolution of the water table in an unconfined aquifer. This nonlinear, time-dependent problem is greatly simplified by using a mapping from the physical domain to a reference domain and is then further reduced to a single, (nonlinear) partial differential equation. We show well-posedness of the approach and propose a stable and convergent discretization scheme. Numerical results are presented supporting the theory.
Original language | English |
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Journal | Computational Geosciences |
Volume | 21 |
Issue number | 1 |
Pages (from-to) | 3-11 |
Number of pages | 9 |
ISSN | 1420-0597 |
DOIs | |
Publication status | Published - 2017 |
Keywords
- Domain tranformation
- Water table evolution
- Finite element method