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Accelerating iterative methods for the anisotropic radiative transfer equation using Anderson Acceleration

Velthuis, D.T.J. (2023) Accelerating iterative methods for the anisotropic radiative transfer equation using Anderson Acceleration.

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Abstract:This paper concerns the iterative solution of the linear system which comes from the discretization of the anisotropic radiative transfer equation. The goal is to create a fast converging method using Anderson Acceleration. With Anderson Acceleration a method can converge within fewer iterations or it might turn a diverging method into a converging one. The results are shown for numerical examples, which showcase the effect of Anderson Acceleration. The mixed-system with subspace correction and Anderson Acceleration converges with a low computation time for all our examples, making it a great candidate if a proof can be given in the future that the method will converge for all values for the parameters.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:30 exact sciences in general, 31 mathematics
Programme:Applied Mathematics BSc (56965)
Link to this item:https://purl.utwente.nl/essays/97007
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