Approximation of Solutions to Equations in Static Thermoelasticity

We propose a fast method of high order approximations for the solution stationary thermoelastic system in ℝ3 unknown displacement vector u and temperature T. The problem determining T is an independent can be obtained by solving Dirichlet Laplace equation. When known, Lamé system, where gradient treated as mass force. Using basis functions introduced theory approximate approximations, we derive accurate formulas approximation accuracy convergence 2, 4, 6, 8 are confirmed numerical experiments.