An adaptive p-wavelet method in a domain decomposition framework

S. Falletta
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S. Falletta: Università di Pavia, Dipartimento di Matematica

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 701-712 from Springer

Abstract: Summary In this paper we show how the new construction of wavelets on the interval, presented in [3], which allows us to construct a multiresolution analysis (MRA) on ]0, 1[ even at large scales, is well suited for solving PDEs in a domain decomposition framework. In particular we use an adaptive technique to solve the advection-diffusion problem, showing that only small values of the level parameter j are actually necessary in the regions where the solution does not need high accuracy.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_63

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DOI: 10.1007/978-88-470-2089-4_63

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