## Optimal $$L_{\infty}$$-estimates for a mixed finite element method for second order elliptic and parabolic problems.(English)Zbl 0571.65092

A mixed finite element method for second order problems is considered. Optimal $$L_{\infty}$$-error estimates for the elliptic as well as for the corresponding parabolic problem are derived.

### 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 35K20 Initial-boundary value problems for second-order parabolic equations
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### References:

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