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-POSTERIORI ERROR ANALYSIS OF MIXED METHODS FOR LINEAR AND QUASILINEAR ELLIPTIC PROBLEMS
Abstract

ZHANGXIN CHEN

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 , 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.

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