Some new \(L^{\infty}\)-error estimates for mixed finite element methods. (English) Zbl 0624.65098

Kwon, Yonghoon; Milner, Fabio A.

Mat. Apl. Comput. 5, 249-264 (1986).

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

Keywords:

error estimates; mixed finite elements