A PENALTY-FREE NONSYMMETRIC NITSCHE-TYPE METHOD FOR THE WEAK IMPOSITION OF BOUNDARY CONDITIONS

作者：Burman Erik^*

来源：SIAM Journal on Numerical Analysis, 2012, 50(4): 1959-1981.

DOI：10.1137/10081784X

• finite element methods
• weak boundary conditions
• convection dominated flow
• stabilized methods

In this paper we show that the nonsymmetric version of Nitsche%26apos;s method for the weak imposition of boundary conditions is stable without penalty term. For nonconforming elements we prove the same result for the symmetric formulation as well. We prove optimal H-1-error estimates and L-2-error estimates that are suboptimal with half an order in h. Both the pure diffusion and the convection-diffusion problems are discussed.

• 出版日期2012