Numerical approximation of Young measures in nonconvex variational problems

0410415 20250807152150.920060210235959.9 Numerical approximation of Young measures in nonconvex variational problems 21 s. cav_un_epca*02573460029-599XNumerische Mathematik8499 (2000)395-415Springer cav_un_auth*0212690 Carstensen C. DE cav_un_auth*0101187 Roubíček Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12C AV0Z1075907 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. BA MTR http://hdl.handle.net/11104/0130504 UTIA-B 20000131 2000 cav_un_epca*0257346 Numerische Mathematik 0029-599X 0945-3245 Roč. 84 č. 99 2000 395 415 Springer