Approximation of Uncoupled Quasi-Static Thermoelasticity Solutions Based on Gaussians

Abstract A fast approximation method to three dimensional equations in quasi-static uncoupled thermoelasticity is proposed. We approximate the density via Gaussian approximating functions introduced approximations. In this way action of integral operators on such presented a simple analytical form. If has separated representation, problem reduced computation one-dimensional integrals which admit efficient cubature procedures. The comparison numerical and exact solution shows that these formulas are accurate provide predicted rate $$2,4,6$$ 2 , 4 6 $$8$$ 8 .