Abstract

We consider mixed finite element methods for the approximation of linear and quasilinear second-order elliptic problems. A class of postprocessing methods for improving mixed finite element solutions is analyzed. In particular, error estimates in L p, 1 ≤ p ≤ ∞, are given. These postprocessing methods are applicable to all the existing mixed methods, and can be easily implemented. Furthermore, they are local and thus fully parallelizable.Key wordsfinite elementmixed methodpostprocessinglinear and quasilinear problemserror estimate.

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