A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem

J Inequal Appl. 2017;2017(1):124. doi: 10.1186/s13660-017-1399-7. Epub 2017 May 30.

Abstract

In this study, we devote ourselves to establishing a stabilized mixed finite element (MFE) reduced-order extrapolation (SMFEROE) model holding seldom unknowns for the two-dimensional (2D) unsteady conduction-convection problem via the proper orthogonal decomposition (POD) technique, analyzing the existence and uniqueness and the stability as well as the convergence of the SMFEROE solutions and validating the correctness and dependability of the SMFEROE model by means of numerical simulations.

Keywords: proper orthogonal decomposition technique; stabilized mixed finite element reduced-order extrapolation model; the existence and uniqueness and the stability as well as the convergence; unsteady conduction-convection problem.