We present an a posteriori error indicator for the mimetic finite difference approximation of elliptic problems in the mixed form. We show that this estimator is reliable and efficient with respect to an energy-type error comprising both flux and pressure. Its performance is investigated by numerically solving the diffusion equation on computational domains with different shapes, different permeability tensors, and different types of computational meshes. Copyright © 2008 John Wiley & Sons, Ltd.
BEIRAO DA VEIGA, L., Manzini, G. (2008). An a-posteriori error estimator for the mimetic finite difference approximation of elliptic problems. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 76(11), 1696-1723 [10.1002/nme.2377].
An a-posteriori error estimator for the mimetic finite difference approximation of elliptic problems
BEIRAO DA VEIGA, LOURENCOPrimo
;
2008
Abstract
We present an a posteriori error indicator for the mimetic finite difference approximation of elliptic problems in the mixed form. We show that this estimator is reliable and efficient with respect to an energy-type error comprising both flux and pressure. Its performance is investigated by numerically solving the diffusion equation on computational domains with different shapes, different permeability tensors, and different types of computational meshes. Copyright © 2008 John Wiley & Sons, Ltd.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
