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