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A construction of multiscale bases for Petrov–Galerkin methods for integral equations

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Abstract

In this paper, a construction of multiscale bases for Petrov–Galerkin methods for Fredholm integral equations of the second kind is proposed. The properties of multiscale bases are presented including additional order of vanishing moments, compact supports and stability.

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Authors and Affiliations

  1. Academy of Mathematics and System Sciences, Academia Sinica, Beijing, 100080, P.R. China

    Min Huang

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  1. Min Huang
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Additional information

Communicated by A. Zhou Dedicated to Professor Charles A. Micchelli on the occasion of his sixtieth birthday with friendship and esteem

Mathematics subject classifications (2000)

41A10, 65R20, 65D15.

Min Huang: Supported in part by Professor Yuesheng Xu's support under the program of “One Hundred Distinguished Young Scientists” of the Chinese Academy of Sciences and by the Graduate Innovation Foundation of the Chinese Academy of Sciences.

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Huang, M. A construction of multiscale bases for Petrov–Galerkin methods for integral equations. Adv Comput Math 25, 7–22 (2006). https://doi.org/10.1007/s10444-003-7607-7

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  • DOI: https://doi.org/10.1007/s10444-003-7607-7

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