Skip to Main content Skip to Navigation
Reports

Numerical Reliability and CPU Time for the Mixed Methods applied to Flow Problems in Porous Media

Abstract : This work is devoted to the numerical reliability and time requirements of the Mixed Finite Element (MFE) and Mixed-Hybrid Finite Element (MHFE) methods. The behavior of these methods is investigated under the influence of two factors: the mesh discretization and the medium heterogeneity. We show that, unlike the MFE, the MHFE "suffers" with the presence of flatted triangular elements. A numerical reliability analyzing software (Aquarels) is used to detect the instability of the matrix-inversion code generated by MAPLE which is used in the MHFE code. We also show that the spectral condition number of the algebraic systems furnished by both methods in heterogeneous media grows up linearly according to the smoothness of the hydraulic conductivity. Furthermore, it is found that the MHFE could accumulate numerical errors if the conductivity varies abruptly in space. Finally, we compare running-times for both algorithms by giving various numerical experiments.
Document type :
Reports
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download

https://hal.inria.fr/inria-00072391
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 9:50:31 AM
Last modification on : Thursday, February 11, 2021 - 2:48:03 PM
Long-term archiving on: : Tuesday, February 22, 2011 - 12:04:57 PM

Identifiers

  • HAL Id : inria-00072391, version 1

Citation

Hussein Hoteit, Jocelyne Erhel, Robert Mosé, Bernard Philippe, Philippe Ackerer. Numerical Reliability and CPU Time for the Mixed Methods applied to Flow Problems in Porous Media. [Research Report] RR-4228, INRIA. 2001. ⟨inria-00072391⟩

Share

Metrics

Record views

575

Files downloads

145