A posteriori error estimates for the Steklov eigenvalue problem

MARÍA G. ARMENTANO, CLAUDIO PADRA

APPLIED NUMERICAL MATHEMATICS

Elsevier

Lugar: Amsterdam, The Netherlands; Año: 2008 vol. 58 p. 593 - 601

0168-9274

In this paper we introduce and analyze an a posteriori error estimator for the linear finite element approximations of the Steklov eigenvalue problem. We define an error estimator of the residual type which can be computed locally from the approximate eigenpair and we prove that, up to higher order terms, the estimator is equivalent to the energy norm of the error. Finally, we prove that the volumetric part of the residual term is dominated by a constant times the edge residuals, again up to higher order terms.