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Some new \(L^{\infty}\)-error estimates for mixed finite element methods. (English) Zbl 0624.65098
L\({}^{\infty}\)-error estimates of nearly optimal order and regularity are derived through the use of weighted \(L^ 2\)-norms for the solution of linear second order elliptic and parabolic problems using low-indexed mixed finite elements of Raviart-Thomas-Nedelec type.

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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