Tangential errors of tensor surface finite elements

Abstract

AbstractWe discretise a tangential tensor field equation using a surface-finite element approach with a penalisation term to ensure almost tangentiality. It is natural to measure the quality of such a discretisation intrinsically, i.e., to examine the tangential convergence behaviour in contrast to the normal behaviour. We show optimal-order convergence with respect to the tangential quantities in particular for an isogeometric penalisation term that is based only on the geometric information of the discrete surface.