A P(X3TERIORI ERROR ESTIMATION FOR A NODAL METHOD IN NEUTRON TRANSPORT CALCULATIONS

Abstract. An a posterior error analysis of the spatial approximation is devehped for the oneiiimensiontd Arbitrarily High Order Transport-Nodal method E41eerror estimator preserves the order of convergence of the method when the mesh size tends to zero with respect to the L=norm. It is based on the di~erence between two discrete solutions that are~amiiable from the analysis. I%e proposed estimator is decomposed into error indicators to aiiow the quantification of local errors. Some test problems with isotropic scattering are solved to compare~he behavior of the tnie error to that of the estimated error