Estimates of deviations from exact solutions of initial boundary value problems for the wave equation
We derive computable upper bounds of the difference between an exact solution of the initial boundary value problem for a linear hyperbolic equation and any function in a space-time cylinder that belongs to the respective energy class. We prove that the bounds vanish if and only if the approximate solution coincides with the exact one. Bibliography: 13 titles.
KeywordsVariational Inequality Steklov Institute Posteriori Error Initial Boundary Parabolic Problem
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- 3.S. Repin, “A posteriori error estimation for nonlinear variational problems by duality theory” [in Russian], Zap. Nauchn. Semin. POMI 243, 201-214 (1997).Google Scholar
- 8.S. Repin, “Estimates of deviations from exact solutions of elliptic variational inequalities”[in Russian], Zap. Nauchn. Semin. POMI 271, 188-203 (2000).Google Scholar
- 10.S. Repin, “Estimates of deviations from exact solutions of elliptic variational inequalities” [in Russian], Zap. Nauchn, Semin. POMI 326, 147-164 (2007).Google Scholar
- 11.S. Repin, A Posteriori Error Estimates for Partial Differential Equations, Walter de-Gruyter, Berlin (2008).Google Scholar