Adjoint correction and bounding of error using Lagrange form of truncation term

A. K. Alekseev, I.M. Navon

The a-posteriori error evaluation based on differential approximation of a finite-difference scheme and adjoint equations is addressed. The differential approximation is composed of primal equations and a local truncation error determined by a Taylor series in Lagrange form. This approach provides the feasibility of both refining the solution and using the Holder inequality for asymptotic bounding of the remaining error.