A posteriori error control in radiative transfer (Q1362830)

The authors obtain an aposteriori error estimate for the mean density of a radiative transfer model equation by a suitable finite element approach. The method is based on a duality argument that guarantees reliable error control. Numerical tests are considered to confirm the indicator's reliability and efficiency on regular quadrilateral grids. It is claimed that the finite element technique used here is equivalent to the well-established discrete ordinates method.