The stabilized least-squares nonconforming mixed finite element approximation for the convection-diffusion problem
- Resource Type
- Conference
- Authors
- Yu, Zhiyun; Chen, Jinhuan
- Source
- The 2011 International Conference on Advanced Mechatronic Systems Advanced Mechatronic Systems (ICAMechS), 2011 International Conference on. :303-305 Aug, 2011
- Subject
- Components, Circuits, Devices and Systems
Computing and Processing
General Topics for Engineers
Finite element methods
Approximation methods
Educational institutions
Chemical elements
Mathematical model
Equations
Linear matrix inequalities
- Language
- ISSN
- 2325-0682
2325-0690
In this paper, we use a nonconforming mixed finite element to approximate the convection-diffusion problem by the stabilized least-squares method. we convert the original system of second-order partial differential equations into a first-order system formulation by a additional variable. The existence and uniqueness of the approximate solutions are proved. The convergence analysis is presented and the optimal error estimates for the stress in H(div)-norm and the displacement in broken H 1 -norm are derived.