, Volume 124, Issue 1, pp 1-29
Date: 02 Nov 2012

T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


To solve variational indefinite problems, one uses classically the Banach–Nečas–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 \(\text{ div}\sigma \nabla u=f\) set in \(H^1_0\) , with \(\sigma \) exhibiting a sign change.