6533b85bfe1ef96bd12bb345

RESEARCH PRODUCT

Verifications of Primal Energy Identities for Variational Problems with Obstacles

Sergey RepinSergey RepinJan Valdman

subject

Nonlinear systemNorm (mathematics)010102 general mathematics0202 electrical engineering electronic engineering information engineeringApplied mathematics020201 artificial intelligence & image processing02 engineering and technologyNumerical tests0101 mathematics01 natural sciencesMathematics

description

We discuss error identities for two classes of free boundary problems generated by obstacles. The identities suggest true forms of the respective error measures which consist of two parts: standard energy norm and a certain nonlinear measure. The latter measure controls (in a weak sense) approximation of free boundaries. Numerical tests confirm sharpness of error identities and show that in different examples one or another part of the error measure may be dominant.

yearjournalcountryeditionlanguage
2018-01-01
https://doi.org/10.1007/978-3-319-73441-5_18