We derive new a posteriori error estimates for the finite element solution of an elliptic eigenvalue problem, which take into account also the effects of the polygonal approximation of the domain. This suggests local error indicators that can be used to drive a procedure handling the mesh refinement together with the approximation of the domain.
A posteriori boundary control for FEM approximation of elliptic eigenvalue problems / L. Beirao da Veiga, M. Verani. - In: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0749-159X. - 28:2(2012 Mar), pp. 369-388. [10.1002/num.20621]
A posteriori boundary control for FEM approximation of elliptic eigenvalue problems
L. Beirao da VeigaPrimo
;
2012
Abstract
We derive new a posteriori error estimates for the finite element solution of an elliptic eigenvalue problem, which take into account also the effects of the polygonal approximation of the domain. This suggests local error indicators that can be used to drive a procedure handling the mesh refinement together with the approximation of the domain.
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