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Error estimates for the finite element solution of variational inequalities

Part II. Mixed methods

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Summary

We study the mixed finite element approximation of variational inequalities, taking as model problems the so called “obstacle problem” and “unilateral problem”. Optimal error bounds are obtained in both cases.

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Supported in part by National Science Foundation grant MCS 75-09457, and by Office of Naval Research grant N00014-76-C-0369

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Brezzi, F., Hager, W.W. & Raviart, P.A. Error estimates for the finite element solution of variational inequalities. Numer. Math. 31, 1–16 (1978). https://doi.org/10.1007/BF01396010

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