Matches in SemOpenAlex for { <https://semopenalex.org/work/W2897089861> ?p ?o ?g. }
- W2897089861 endingPage "170" @default.
- W2897089861 startingPage "123" @default.
- W2897089861 abstract "The optimal control of variational inequalities introduces a number of additional challenges to PDE-constrained optimization problems both in terms of theory and algorithms. The purpose of this article is to first introduce the theoretical underpinnings and then to illustrate various types of numerical methods for the optimal control of variational inequalities. For a generic problem class, sufficient conditions for the existence of a solution are discussed and subsequently, the various types of multiplier-based optimality conditions are introduced. Finally, a number of function-space-based algorithms for the numerical solution of these control problems are presented. This includes adaptive methods based on penalization or regularization as well as non-smooth approaches based on tools from non-smooth optimization and set-valued analysis. A new type of projected subgradient method based on an approximation of limiting coderivatives is proposed. Moreover, several existing methods are extended to include control constraints. The computational performance of the algorithms is compared and contrasted numerically." @default.
- W2897089861 created "2018-10-26" @default.
- W2897089861 creator A5040157819 @default.
- W2897089861 date "2018-01-01" @default.
- W2897089861 modified "2023-10-06" @default.
- W2897089861 title "Numerical Optimization Methods for the Optimal Control of Elliptic Variational Inequalities" @default.
- W2897089861 cites W1497246097 @default.
- W2897089861 cites W1499054997 @default.
- W2897089861 cites W1528644537 @default.
- W2897089861 cites W1588604445 @default.
- W2897089861 cites W1601741115 @default.
- W2897089861 cites W1604627832 @default.
- W2897089861 cites W1820125862 @default.
- W2897089861 cites W194556445 @default.
- W2897089861 cites W1965489022 @default.
- W2897089861 cites W1967755185 @default.
- W2897089861 cites W1969748223 @default.
- W2897089861 cites W1970163214 @default.
- W2897089861 cites W1973889466 @default.
- W2897089861 cites W1979167448 @default.
- W2897089861 cites W1989789314 @default.
- W2897089861 cites W1993108857 @default.
- W2897089861 cites W2017909749 @default.
- W2897089861 cites W2022359366 @default.
- W2897089861 cites W2024142617 @default.
- W2897089861 cites W2026365342 @default.
- W2897089861 cites W2031090110 @default.
- W2897089861 cites W2037565869 @default.
- W2897089861 cites W2037678919 @default.
- W2897089861 cites W2037997802 @default.
- W2897089861 cites W2041928877 @default.
- W2897089861 cites W2046288051 @default.
- W2897089861 cites W2047457537 @default.
- W2897089861 cites W2055775029 @default.
- W2897089861 cites W2061652436 @default.
- W2897089861 cites W2061846509 @default.
- W2897089861 cites W2063318629 @default.
- W2897089861 cites W2065956202 @default.
- W2897089861 cites W2067986422 @default.
- W2897089861 cites W2070289182 @default.
- W2897089861 cites W2070584352 @default.
- W2897089861 cites W2074190491 @default.
- W2897089861 cites W2080283002 @default.
- W2897089861 cites W2080436375 @default.
- W2897089861 cites W2087003257 @default.
- W2897089861 cites W2087472326 @default.
- W2897089861 cites W2091190532 @default.
- W2897089861 cites W2094116453 @default.
- W2897089861 cites W2114487471 @default.
- W2897089861 cites W2120575449 @default.
- W2897089861 cites W2120757254 @default.
- W2897089861 cites W2126289774 @default.
- W2897089861 cites W2132347401 @default.
- W2897089861 cites W2150134853 @default.
- W2897089861 cites W2153562582 @default.
- W2897089861 cites W2154834860 @default.
- W2897089861 cites W2226542469 @default.
- W2897089861 cites W2283587543 @default.
- W2897089861 cites W2332012665 @default.
- W2897089861 cites W2337188593 @default.
- W2897089861 cites W2342552942 @default.
- W2897089861 cites W2519281739 @default.
- W2897089861 cites W2554765999 @default.
- W2897089861 cites W2619720867 @default.
- W2897089861 cites W2964318577 @default.
- W2897089861 cites W2985272081 @default.
- W2897089861 cites W3098358936 @default.
- W2897089861 cites W4211092921 @default.
- W2897089861 cites W4212912562 @default.
- W2897089861 cites W4231147659 @default.
- W2897089861 cites W4231269780 @default.
- W2897089861 cites W4232734435 @default.
- W2897089861 cites W4234028290 @default.
- W2897089861 cites W4235554948 @default.
- W2897089861 cites W4301021743 @default.
- W2897089861 cites W54804959 @default.
- W2897089861 cites W93748562 @default.
- W2897089861 cites W956977147 @default.
- W2897089861 doi "https://doi.org/10.1007/978-1-4939-8636-1_4" @default.
- W2897089861 hasPublicationYear "2018" @default.
- W2897089861 type Work @default.
- W2897089861 sameAs 2897089861 @default.
- W2897089861 citedByCount "2" @default.
- W2897089861 countsByYear W28970898612021 @default.
- W2897089861 crossrefType "book-chapter" @default.
- W2897089861 hasAuthorship W2897089861A5040157819 @default.
- W2897089861 hasConcept C124584101 @default.
- W2897089861 hasConcept C126255220 @default.
- W2897089861 hasConcept C127413603 @default.
- W2897089861 hasConcept C137836250 @default.
- W2897089861 hasConcept C139719470 @default.
- W2897089861 hasConcept C154945302 @default.
- W2897089861 hasConcept C158968445 @default.
- W2897089861 hasConcept C161999928 @default.
- W2897089861 hasConcept C162324750 @default.
- W2897089861 hasConcept C188198153 @default.
- W2897089861 hasConcept C2776135515 @default.
- W2897089861 hasConcept C28826006 @default.