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On efficiency of the dual majorant method for the quality estimation of approximate solutions of fourth-order elliptic boundary value problems. (English) Zbl 1064.65129

The author investigates an approach for the construction of a posteriori estimates of the accuracy of the approximate solutions of certain fourth order classical elliptic boundary value problems. The theoretical results are confirmed by numerical examples.

MSC:

65N15 Error bounds for boundary value problems involving PDEs
35J40 Boundary value problems for higher-order elliptic equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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