Verification of the Coupled Space-angle Adaptivity Algorithm for the Finite Element-spherical Harmonics Method via the Method of Manufactured Solutions
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چکیده
This paper describes the verification of the recently developed space-angle self-adaptive algorithm for the finite element-spherical harmonics method via the Method of Manufactured Solutions. This method provides a simple, yet robust way for verifying the theoretical properties of the adaptive algorithm and interfaces very well with the underlying second-order, even-parity trasnport formulation. Simple analytic solutions in both spatial and angular variables are manufactured to assess the theoretical performance of the a posteriori error estimates. The numerical results confirm reliability of the developed space-angle error indicators.
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تاریخ انتشار 2007