an:01366980
Zbl 0948.65115
Acosta, Gabriel; DurĂ¡n, Ricardo G.
The maximum angle condition for mixed and nonconforming elements: Application to the Stokes equations
EN
SIAM J. Numer. Anal. 37, No. 1, 18-36 (1999).
0036-1429 1095-7170
1999
j
65N15 65N30 35J25 35Q30
maximum angle condition; mixed and non-conforming elements; Stokes equations; finite element method; elliptic second-order problems
The authors obtain optimal order error estimates for the Raviart-Thomas mixed finite element method for elliptic second-order problems. Only the general maximum angle condition for two- or three-dimensional simplices is needed. Moreover, it is necessary. Important estimates of the same type are obtained for nonconforming piecewise linear approximations of the Stokes system.
E.D'yakonov (Moskva)