Erratum to: A flow topology optimization method for steady state flow using transient information of flow field solved by lattice Boltzmann method(10.1007/s00158-014-1123-x)

Abstract

The original version of this article unfortunately contained mistakes. The aim of this erratum is to correct mistakes of Lemma 1 and claryfy the obscurity of the sentences. In addition, we note that the method works in practice for a nearly self adjoint optimization problems. For non-self adjoint problems the solutions produced by the method are not guaranteed to satisfy first-order necessary optimality conditions.