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Abstract
In this paper, we develop the mixed pseudospectral method for three-dimensional exterior problems. Some basic results on the mixed spherical harmonic-generalized Laguerre interpolation are established, which play important roles in the related pseudospectral methods. As examples, we provide the mixed pseudospectral schemes for two exterior problems with convergence analysis. Numerical results demonstrate the efficiency of this approach.
Acknowledgements
This work is supported in part by the National Basic Research Project of China, N.2005CB321701, NSF of China, N.10771142 and N.10871131, Science and Technology Commission of Shanghai Municipality Grant, N.075105118, Shuguang Project of Shanghai Education Commission, N.08SG45, Shanghai Leading Academic Discipline Project N.S30405 and The Fund for E-institute of Shanghai Universities N.E03004.