Quasi-optimality of approximate solutions in normed vector spaces

Roman Andreev (1, 2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 MOKAPLAN - Méthodes numériques pour le problème de Monge-Kantorovich et Applications en sciences sociales

We discuss quasi-optimality of approximate solutions to operator equations in normed vector spaces, defined either by Petrov--Galerkin projection or by residual minimization. Examples demonstrate the sharpness of the estimates.

Mots clés: operator equations; quasi-optimality; Petrov--Galerkin; finite elements

Domaines: Analyse numérique [math.NA]

Roman Andreev. Quasi-optimality of approximate solutions in normed vector spaces. 2016. ⟨hal-01338040⟩