An optimally convergent adaptive mixed finite element method |
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| Authors: | Roland Becker Shipeng Mao |
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| Institution: | (1) Laboratoire de Mathématiques Appliquées, Université de Pau, 64013 Pau Cedex, France;(2) LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190 Beijing, China |
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| 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. |
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| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 65N12 65N15 65N30 65N5 |
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