Duality based a posteriori error estimates for higher order variational inequalities with power growth functionals.

Bildhauer, Michael; Fuchs, Martin; Repin, Sergey

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The paper is devoted to the problem of verification of accuracy of approximate solutions obtained in computer simulations. This problem is strongly related to a posteriori error estimates, giving computable bounds for computational errors and detecting zones in the solution domain where such errors are too large and certain mesh refinements should be performed. A mathematical model embracing nonlinear elliptic variational problems is considered in this work. Based on functional type...

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