We investigate the emergence of isotropic linear elasticity in amorphous and polycrystalline solids via extensive numerical simulations. show that elastic properties are correlated over a finite length scale ${\ensuremath{\xi}}_{E}$, so central limit theorem dictates continuum on increasing specimen size. The stiffness matrix systems size $L>{\ensuremath{\xi}}_{E}$ is obtained, adding to pre...

We study the approximation of spectrum least-squares operators arising from linear elasticity. consider a two-field (stress/displacement) and three-field (stress/displacement/vorticity) formulation; other formulations might be analyzed with similar techniques. prove priori estimates we confirm theoretical results simple two-dimensional numerical experiments.