Efficient expanded mixed finite element method for the quasilinear elliptic problems. (2016)

• Record Type: Journal Article
• Authors: Zhao, Qingli; Li, Jin; Chen, Juxin; Wang, Xu'an
• Is Part Of: International journal of high performance systems architecture. Volume 6:Number 3(2016)
• Page Start: 162
• Page End: 170
• Publication Date: 2016
• Subjects: expanded mixed FEM -- finite element method -- quasilinear elliptic problems -- numerical simulation; Computer architecture -- Periodicals; Computer systems -- Periodicals; High performance computing -- Periodicals; 004.205
• Languages: English
• ISSNs: 1751-6528

Abstract

With the rapid development of computing power, advanced modelling and numerical simulation technology has become a useful and powerful tool. Some efficient numerical methods are presented. In this article, expanded mixed finite element method is introduced to solve the quasilinear elliptic problems. This method expands the traditional mixed finite element method in the sense that three variables are explicitly treated simultaneously. Existence and uniqueness of the discrete approximation are demonstrated. L 2 -error estimates for three variables are presented. Numerical examples are carried out to validate the theoretical analysis.