Читать книгу Finite Element Analysis - Barna Szabó - Страница 54

On multiplying eq. (1.164) by v and integrating by parts we get

(1.167)

We introduce the stability parameter γ and multiply eq. (1.165) by to get

(1.168)

Adding eq. (1.167) and eq. (1.168) we get

(1.169)

and, multiplying eq. (1.165) by , we have

(1.170)

Subtracting eq. (1.170) from eq. (1.169) we obtain the generalized formulation:

(1.171)

Letting in eq. (1.171) we get the stabilized method proposed by Nitsche [67]:

(1.172)