An individually fitted physical barrier device as a tool to restrict the birds’spatial access: can their use alter behavioral responses?

Abstract

In this work we introduce an hp finite element method for two-dimensional Poisson problems on curved domains using curved elements. We obtain a priori error estimates and define a local a posteriori error estimator of residual type.We show, under appropriate assumptions about the curved domain, the globalreliability and the local efficiency of the esimator. More precisely, we prove that theestimator is equivalent to the energy norm of the error up to higher order terms. The equivalence constant of the efficiency estimate depends on the polynomial degree.We also present an hp adaptive algorithm and several numerical tests which show the performance of the adaptive strategy.