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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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