A posteriori error control in radiative transfer. (English) Zbl 0880.65125

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.


65R20 Numerical methods for integral equations
45K05 Integro-partial differential equations
85A25 Radiative transfer in astronomy and astrophysics
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