Geodesic
Error estimates for obstacle problems Of higher order
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 38, Tome 348 (2007), pp. 5-18

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For obstacle problems of higher order involving power growth functionals we prove a posteriori error estimates using methods from duality theory. These estimates can be seen as a reliable measure for the deviation of an approximation from the exact solution being independent of the concrete numerical scheme under consideration. 
@article{ZNSL_2007_348_a0,
     author = {M. Bildhauer and M. Fuchs},
     title = {Error estimates for obstacle problems {Of} higher order},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--18},
     publisher = {mathdoc},
     volume = {348},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_348_a0/}
}
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M. Bildhauer; M. Fuchs. Error estimates for obstacle problems Of higher order. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 38, Tome 348 (2007), pp. 5-18. http://geodesic.mathdoc.fr/item/ZNSL_2007_348_a0/