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Licensed Unlicensed Requires Authentication Published by De Gruyter August 27, 2015

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

  • Nabi Chegini and Rob Stevenson EMAIL logo

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 H0,ΓN(div;Ω) on general polygons. The theoretical findings are illustrated by numerical experiments.

Received: 2015-2-11
Revised: 2015-8-7
Accepted: 2015-8-10
Published Online: 2015-8-27
Published in Print: 2015-10-1

© 2015 by De Gruyter

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