Adaptive multistep time discretization and linearization based on a posteriori estimates for the Richards equation - Archive ouverte HAL
Communication Dans Un Congrès Année : 2015

Adaptive multistep time discretization and linearization based on a posteriori estimates for the Richards equation

Résumé

We derive a posteriori error estimates based on the dual norm of the residual of the Richards equation. The error is decomposed into space, time, and linearization terms. Error estimators are computed with reconstructions especially designed for a multistep Discrete Duality Finite Volume scheme. We stop the fixed-point iterations when the linearization error becomes negligible, and we choose the time step to balance the time and space errors. Results are presented to several test cases.
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Dates et versions

hal-01148742 , version 1 (05-05-2015)

Identifiants

  • HAL Id : hal-01148742 , version 1

Citer

Pierre Sochala, Vincent Baron, Yves Coudière. Adaptive multistep time discretization and linearization based on a posteriori estimates for the Richards equation. SIAM Conference on Mathematical and Computational Issues in the Geosciences, SIAM, Jun 2015, Stanford, United States. ⟨hal-01148742⟩
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