TY - JOUR
T1 - Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 447
EP - 478
PY - 2013
DA - 2013/06
SN - 6
DO - http://doi.org/10.4208/nmtma.2013.1022nm
UR - https://global-sci.org/intro/article_detail/nmtma/5913.html
KW - Model adaptation, anisotropic mesh adaptation, goal-oriented analysis, advection-diffusion-reaction systems, Navier-Stokes equations, finite elements.
AB - <p style="text-align: justify;">Goal of this paper is to suitably combine a model with an anisotropic mesh adaptation
for the numerical simulation of nonlinear advection-diffusion-reaction systems and incompressible flows
in ecological and environmental applications.
Using the reduced-basis method terminology, the proposed approach leads to a noticeable computational saving of the online phase
with respect to the resolution of the reference model on nonadapted grids.
The search of a suitable adapted model/mesh pair is to be meant, instead, in an offline fashion.</p>