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.

This paper looks to apply the mathematical framework of Theory Functional Connections solution boundary-value problems arising from hybrid systems. The is a technique derive constrained expressions which are analytical with embedded constraints. These particularly suitable transform large class optimization into unconstrained problems. initial and most useful application this in differential eq...