Adjoint Correction and Bounding of Error Using Lagrange Form of Truncation Term
نویسندگان
چکیده
The a posteriori error evaluation based on differential approximation of a finitedifference 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 Science Ltd. All rights reserved. Keywords—Differential approximation, Lagrange truncation term, adjoint problem, A posteriori error estimation, Error bound.
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Adjoint Correction and Bounding of Error Using Largange 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 Largange form. This approach provides the feasibility of both refining the solution and using the Holder inequality for asymptotic bound...
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