Existence and Uniqueness of Generalized and Mixed Finite Element Solutions for Steady Boussinesq Equation
- Resource Type
- article
- Authors
- Zhendong Luo; Xiangdong Liu; Yihui Zeng; Yuejie Li
- Source
- Mathematics, Vol 11, Iss 3, p 545 (2023)
- Subject
- the fixed point theorem
the Lax-Milgram theorem
existence and uniqueness of generalized solution
existence and uniqueness of mixed finite element solution
Mathematics
QA1-939
- Language
- English
- ISSN
- 2227-7390
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.