Acta mathematica scientia, Series B >
A STABILIZED MIXED FINITE ELEMENT FORMULATION FOR THE NON-STATIONARY INCOMPRESSIBLE BOUSSINESQ EQUATIONS
Received date: 2014-02-08
Revised date: 2015-04-18
Online published: 2016-04-25
Supported by
Research of this work was mainly supported by the National Science Foundation of China (11271127) and Science Research Project of Guizhou Province Education Department (QJHKYZ[2013]207).
In this study, we employ mixed finite element (MFE) method, two local Gauss integrals, and parameter-free to establish a stabilized MFE formulation for the non-stationary incompressible Boussinesq equations. We also provide the theoretical analysis of the existence, uniqueness, stability, and convergence of the stabilized MFE solutions for the stabilized MFE formulation.
Zhendong LUO . A STABILIZED MIXED FINITE ELEMENT FORMULATION FOR THE NON-STATIONARY INCOMPRESSIBLE BOUSSINESQ EQUATIONS[J]. Acta mathematica scientia, Series B, 2016 , 36(2) : 385 -393 . DOI: 10.1016/S0252-9602(16)30007-8
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