Computational issues of hybrid and multipoint mixed methods for groundwater flow in anisotropic media |
| |
| Authors: | Vincent Fontaine Anis Younes |
| |
| Institution: | 1.LPBS, Department of Physics,University of La Réunion,La Réunion,France;2.LHyGeS,University of Strasbourg/EOST,Strasbourg,France |
| |
| Abstract: | In this work, lowest-order Raviart–Thomas and Brezzi–Douglas–Marini mixed methods are considered for groundwater flow simulations.
Typically, mixed methods lead to a saddle-point problem, which is expensive to solve. Two approaches are numerically compared
here to allow an explicit velocity elimination: (1) the well-known hybrid formulation leading to a symmetric positive definite
system where the only unknowns are the Lagrange multipliers and (2) a more recent approach, inspired from the multipoint flux
approximation method, reducing low-order mixed methods to cell-centered finite difference schemes. Selected groundwater flow
scenarios are used for the comparison between hybrid and multipoint approaches. The simulations are performed in the bidimensional
case with a general triangular discretization because of its practical interest for hydrogeologists. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
