Mixed finite element method
In numerical analysis, the mixed finite element method, also known as the hybrid finite element method, is a type of finite element method in which extra independent variables are introduced as nodal variables during the discretization of a partial differential equation problem. The extra independent variables are constrained by using Lagrange multipliers [1] . To be distinguished from the mixed finite element method, usual finite element methods that do not introduce such extra independent variables are also called irreducible finite element methods.[2] The mixed finite element method is efficient for some problems that would be numerically ill-posed if discretized by using the irreducible finite element method; one example of such problems is to compute the stress and strain fields in an almost incompressible elastic body.
References
- ^ "Fully implicit mixed-hybrid finite-element discretization for general purpose subsurface reservoir simulation". Journal of Computational Physics. 346: 514–538. 2017.
{{cite journal}}: Unknown parameter|authors=ignored (help) - ^ Olek C Zienkiewicz, Robert L Taylor and J.Z. Zhu. The Finite Element Method: Its Basis and Fundamentals. Elsevier.
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