On using the Lagrange coefficients for a posteriori error estimation

Author:

Alekseev A. K.,Makhnev I. N.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Reference13 articles.

1. Repin, S.I. and Frolov, M.E., On A Posteriori Estimates of Accuracy of Approximate Solutions of Boundary-Value Problems for Elliptic-Type Equations, Zh. Vych. Mat., 2002, vol. 42, no. 12, pp. 1774–1787.

2. Giles, M.B. and Suli, E., Adjoint Methods for PDEs: A Posteriori Error Analysis and Postprocessing by Duality, Acta Numerica, 2002, pp. 145–206.

3. Oden, J.T. and Prudhomme, S., Goal-Oriented Error Estimation and Adaptivity for the Finite Element Method, Comp. Math. Applic., 2001, vol. 41, pp. 735–756.

4. Alekseev, A.K., Control of the Error of the Finite-Difference Solution of the Heat-Conduction Equation with the Use of an Adjoint Equation, Inzh.-Fiz. Zh., 2004, vol. 77, no. 1, pp. 145–151.

5. Alekseev, A.K., A Posteriori Error Estimation of the Finite-Difference Solution with the Use of Adjoint Equations and Differential Presentation, Zh. Vych. Mat., 2005, vol. 45, no. 7, pp. 1213–1225.

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