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.


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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