A new absolutely stable simplified Galerkin Least-Squares finite element method using nonconforming element for the Stokes problem

作者：Chen Gang; Feng Minfu^*

来源：Applied Mathematics and Computation, 2013, 219(10): 5356-5366.

DOI：10.1016/j.amc.2012.11.047

• Stabilized finite element methods
• SGLS method
• Nonconforming method
• Crouzeix-Raviart element
• Park element
• Absolutely stable
• Stokes problem

We propose a new absolutely stable simplified Galerkin Least-Squares (SGLS) finite element method using equal order linear nonconforming element for the Stokes problem. We prove that our method is absolutely stable and has optimal error estimates. Numerical tests confirm and illustrate the theoretical analysis. Compare with the conforming Galerkin Least-Squares method and conforming SGLS method, our nonconforming method is more accuracy.

• 出版日期2013-1-15
• 单位四川大学