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Mixed spectral method for three-dimensional exterior problems using spherical harmonic and generalized Laguerre functions

✍ Scribed by Zhong-Qing Wang; Ben-Yu Guo; Wei Zhang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
265 KB
Volume
217
Category
Article
ISSN
0377-0427

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✦ Synopsis


In this paper, we develop the mixed spectral method for three-dimensional exterior problems, using spherical harmonic and generalized Laguerre functions. Some basic approximation results are established. The mixed spectral schemes are proposed for two model problems. Their convergences are proved. Numerical results demonstrate the efficiency of this new approach.