Abstract
In the first chapter of this book, we introduced a large number of saddle point problems or generalisations of such problems. In most cases, the question of existence and uniqueness of solutions was left aside. In the previous chapter, we considered the solvability of finite dimensional problems in mixed form, together with the stability of sequences of such problems. We now introduce an abstract frame that is sufficiently general to cover all our needs, from the problems of existence and uniqueness in infinite dimension to the stability of their Finite Element discretisations.
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Boffi, D., Brezzi, F., Fortin, M. (2013). Saddle Point Problems in Hilbert Spaces. In: Mixed Finite Element Methods and Applications. Springer Series in Computational Mathematics, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36519-5_4
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DOI: https://doi.org/10.1007/978-3-642-36519-5_4
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