T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients - Archive ouverte HAL Access content directly
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T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients

Abstract

To solve variational indefinite problems, one uses classically the Banach-Necas-Babuška theory. Here, we study an alternate theory to solve those problems: T-coercivity. Moreover, we prove that one can use this theory to solve the approximate problems, which provides an alternative to the celebrated Fortin lemma. We apply this theory to solve the indefinite problem $div\sigma\nabla u = f$ set in $H^1_0$, with $\sigma$ exhibiting a sign change.
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Dates and versions

hal-00688862 , version 1 (18-04-2012)

Identifiers

  • HAL Id : hal-00688862 , version 1

Cite

Lucas Chesnel, Patrick Ciarlet. T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients. 2012. ⟨hal-00688862⟩
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