Adjoint correction and bounding of error using Lagrange form of truncation term
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. (c) 2005 Elsevier Ltd. All rights reserved.
differential approximation lagrange truncation term adjoint problem a posteriori error estimation error bound