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The maximum angle condition for mixed and nonconforming elements: Application to the Stokes equations. (English) Zbl 0948.65115
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.

MSC:
65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
35Q30 Navier-Stokes equations
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