Guaranteed error estimates for variational problems with free boundaries
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TALK
Prof. Sergey Repin (Academy of Sciences, Russia), 5 February 2019, 1:45 p.m., S2 416-2
Guaranteed error estimates for variational problems with free boundaries
We consider a class of nonlinear variational problems, which solutions contain a priori unknown free boundaries. We present a general method that generates error identities for a wide class of variational problems and principal conclusions related to error measures that follow from the identities. Then we discuss applications to quantitative analysis with the paradigm of several free boundary problems (classical and two-phase obstacle problems, problems with thin obstacle, plasticity).