2020
DOI: 10.3934/naco.2019030
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Numerical solution of an obstacle problem with interval coefficients

Abstract: In this work we propose a novel numerical method for a finitedimensional optimization problem arising from the discretization of an infinitedimensional constrained optimization problem, called an obstacle problem, with interval coefficients. In this method, the two different ways of characterizing the optimal solutions, i.e., minimizing the mid-point and one end-point (the worst-case scenario) or the mid-point and the width of the objective interval, are formulated as a single constrained multi-objective minim… Show more

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