Abstract
Herein, we mainly employ the fixed point theorem and Lax-Milgram theorem in functional analysis to prove the existence and uniqueness of generalized and mixed finite element (MFE) solutions for two-dimensional steady Boussinesq equation. Thus, we can fill in the gap of research for the steady Boussinesq equation since the existing studies for the equation are assumed the existence and uniqueness of generalized solution without providing proof.
Funder
National Natural Science Foundation of China
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference18 articles.
1. Two classes of mixed finite element methods;France;Comput. Math. Appl. Mech. Eng.,1989
2. Liu, R.X., and Shu, Q.W. (2003). Some New Methods of Computational Fluid Dynamics, Science Press. (In Chinese).
3. New Fourier-series-based analytical solution to the conduction-convection equation to calculate soil temperature, determine soil thermal properties, or estimate water flux;Hu;Int. J. Heat Mass Transf.,2016
4. An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method;Huang;Appl. Math. Model.,2014
5. Stability of optimal controls for the stationary Boussinesq equations;Alekseev;Int. J. Differ. Equat.,2011
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献