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Journal Articles Numerische Mathematik Year : 2008

An optimally convergent adaptive mixed finite element method

Abstract

We prove convergence and optimal complexity of an adaptive mixed finite element algorithm, based on the lowest-order Raviart–Thomas finite element space. In each step of the algorithm, the local refinement is either performed using simple edge residuals or a data oscillation term, depending on an adaptive marking strategy. The inexact solution of the discrete system is controlled by an adaptive stopping criterion related to the estimator.

Dates and versions

inria-00343204 , version 1 (30-11-2008)

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Roland Becker, Shipeng Mao. An optimally convergent adaptive mixed finite element method. Numerische Mathematik, 2008, 111 (1), pp.35-54. ⟨10.1007/s00211-008-0180-8⟩. ⟨inria-00343204⟩
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