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 H⃗ 0,ΓN(div;Ω) on general polygons. The theoretical findings are illustrated by numerical experiments.
['Nabi Chegini', 'Rob Stevenson']
An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares