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Abstract

IN SECTION 1 OF this chapter, we give a variational formulation of the Dirichlet problem. In section 2 we prove the existence and uniqueness results for the abstract variational problem. In the remaining sections, we deal with the Neumann problem, Elasticity problem, Stokes problem and Mixed problem and their variational formulations.

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© 1979 Springer-Verlag Berlin Heidelberg

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Mercier, B. (1979). Abstract Variational Problems and Examples. In: Topics in Finite Element Solution of Elliptic Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-40197-2_2

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  • DOI: https://doi.org/10.1007/978-3-662-40197-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-39197-6

  • Online ISBN: 978-3-662-40197-2

  • eBook Packages: Springer Book Archive

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