Editor-in-Chief: Carstensen, Carsten
Managing Editor: Matus, Piotr
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Get Access to Full TextWe design an adaptive wavelet scheme for solving first-order system least-squares formulations of second-order elliptic PDEs that converge with the best possible rate in linear complexity. A wavelet Riesz basis is constructed for the space on general polygons. The theoretical findings are illustrated by numerical experiments.
Keywords: Adaptive Wavelet Methods; Least Squares Formulations of Boundary Value Problems; Optimal Convergence Rates; Linear Complexity
Received: 2015-02-11
Revised: 2015-08-07
Accepted: 2015-08-10
Published Online: 2015-08-27
Published in Print: 2015-10-01
Citation Information: Computational Methods in Applied Mathematics, Volume 15, Issue 4, Pages 439–463, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.1515/cmam-2015-0023.
© 2015 by De Gruyter.
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