Abstract
We analyze the discretization of elliptic boundary-value problems defined in domains with a complicated shape, via a domain decomposition approach. The approximated solution is a patchwork of different algebraic polynomials defined in the subdomains and is determined as the result of a preconditioned iterative procedure. At any iteration, in any subdomain, the corresponding polynomial satisfies a collocation problem.
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© 1997 Springer-Verlag Berlin Heidelberg
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Funaro, D. (1997). The Spectral Element Method. In: Spectral Elements for Transport-Dominated Equations. Lecture Notes in Computational Science and Engineering, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59185-3_4
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DOI: https://doi.org/10.1007/978-3-642-59185-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62649-7
Online ISBN: 978-3-642-59185-3
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