BARON, Vincent; COUDIÈRE, Yves; SOCHALA, Pierre

doi:10.1007/978-3-319-05591-6_48

Metadatos

Licencia de uso del documento

BARON, Vincent
Bureau de Recherches Géologiques et Minières [BRGM]
Laboratoire de Mathématiques Jean Leray [LMJL]

COUDIÈRE, Yves
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de Mathématiques de Bordeaux [IMB]

SOCHALA, Pierre
Bureau de Recherches Géologiques et Minières [BRGM]

Idioma

Ouvrage

Este ítem está publicado en

2014-06p. 8 p.

Springer

Resumen en inglés

We derive some a posteriori error estimates for the Richards equation, based on the dual norm of the residual. This equation is nonlinear in space and in time, thus its resolution requires fixed-point iterations within each time step. We propose a strategy to decrease the computational cost relying on a splitting of the error terms in three parts: linearization, time discretization, and space discretization. In practice, we stop the fixed-point iterations after the linearization error becomes negligible, and choose the time step in order to balance the time and space errors.< Leer menos

Palabras clave en italiano

A posteriori estimate

Richards equation

Discrete Duality Finite Volume scheme

adaptive algorithm

URI

https://oskar-bordeaux.fr/handle/20.500.12278/189310

DOI

http://dx.doi.org/10.1007/978-3-319-05591-6_48

Proyecto ANR

Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251