Some numerical methods for the study of the convexity notions arising in the calculus of variations

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Abstract

We propose numerical schemes to determine whether a given function is convex, polyconvex, quasiconvex and rank one convex. These notions are of fundamental importance in the vectorial problems of the calculus of variations.

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Dacorogna, B., & Haeberly, J. P. (1998). Some numerical methods for the study of the convexity notions arising in the calculus of variations. Mathematical Modelling and Numerical Analysis, 32(2), 153–175. https://doi.org/10.1051/m2an/1998320201531

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