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Journal Article

Numerical approximation of Young measures in nonconvex variational problems

Carstensen C., Roubíček Tomáš

: Numerische Mathematik vol.84, 99 (2000), p. 395-415

: AV0Z1075907

(eng): In non-convex optimisation problems there usually does not exist any classical solution but only generalised solutions which involve Young measures. A suitable relaxation and approximation theory is developed together with optimality conditions, and then an adaptive scheme is proposed for the efficient numerical treatment. The Young measures solving the approximate problems are usually composed only from a few atoms. This is the main argument our effective active-set type algorithm is based on.

: 12C

: BA

2019-01-07 08:39