Abstract:This work is concerned with quasi-optimal a-priori finite element error estimates for the obstacle problem in the L 2 -norm. The discrete approximations are introduced as solutions to a finite element discretization of an accordingly regularized problem. The underlying domain is only assumed to be convex and polygonally or polyhedrally bounded such that an application of pointwise error estimates results in a rate less than two in general. The main ingredient for proving the quasi-optimal estimates is the stru… Show more
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