[PDF][PDF] On spectral approximation. Part 2. Error estimates for the Galerkin method

J Descloux, N Nassif, J Rappaz - RAIRO. Analyse numérique, 1978 - numdam.org
J Descloux, N Nassif, J Rappaz
RAIRO. Analyse numérique, 1978numdam.org
… In part 1 of this paper [3], we have been concernée! with the problem of convergence in
spectral approximation; since the theory we have developped has received concrete
applications for non compact operators only in connection with the Galerkin method, we
shall now restrict ourself to this case. … The purpose of this part 2 of our paper is to give
estimâtes of Xby the \iih'$. In fact, we shall adapt to the situation described above Osborn's …
Abstract
One considers an isolated eigenvalue A of finite multiplicity of an operator A which is approximated by a Galerkin method. Using Osborn's technics, one dérives several error estimâtes for X.
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