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# Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

4 Issues per year

IMPACT FACTOR 2016: 1.097

CiteScore 2016: 1.09

SCImago Journal Rank (SJR) 2016: 0.872
Source Normalized Impact per Paper (SNIP) 2016: 0.887

Mathematical Citation Quotient (MCQ) 2016: 0.75

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ISSN
1609-9389
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Volume 15, Issue 4

# An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares

Nabi Chegini
/ Rob Stevenson
• Corresponding author
• Korteweg-de Vries Institute for Mathematics, University of Amsterdam, P.O. Box 94248, 1090 GE Amsterdam, The Netherlands
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Published Online: 2015-08-27 | DOI: https://doi.org/10.1515/cmam-2015-0023

## Abstract

We 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 ${\stackrel{\to }{H}}_{0,{\Gamma }_{N}}\left(div;\Omega \right)$ on general polygons. The theoretical findings are illustrated by numerical experiments.

MSC: 41A25; 42C40; 47J25; 65J15; 65N12; 65T60; 65N30

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,

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