Počet záznamů: 1
Coarse-convex-compactification approach to numerical solution of nonconvex variational problems
- 1.
SYSNO ASEP 0351985 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Coarse-convex-compactification approach to numerical solution of nonconvex variational problems Tvůrce(i) Meziat, R. (CO)
Roubíček, Tomáš (UT-L) RID, ORCID
Patino, D. (CO)Celkový počet autorů 3 Zdroj.dok. Numerical Functional Analysis and Optimization. - : Taylor & Francis - ISSN 0163-0563
Roč. 31, č. 4 (2010), s. 460-488Poč.str. 23 s. Forma vydání www - www Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova convex approximations ; method of moments ; relaxed variational problems Vědní obor RIV BA - Obecná matematika CEZ AV0Z20760514 - UT-L (2005-2011) UT WOS 000278663200004 DOI 10.1080/01630560903574985 Anotace A numerical method for a (possibly non-convex) scalar variational problem is proposed. This method allows for computation of the Young-measure solution of the generalized relaxed version of the original problem and applies to those cases with polynomial functionals. The Young measures involved in the relaxed problem can be represented by their algebraic moments and also a finite-element mesh is used. Eventually, thus obtained convex semidefinite program can be solved by efficient specialized mathematical-programming solvers. This method is justified by convergence analysis and eventually tested on a 2-dimensional benchmark numerical example. It serves as an example how convex compactification can efficiently be used numerically if enough ``small'', i.e. enough coarse. Pracoviště Ústav termomechaniky Kontakt Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Rok sběru 2011
Počet záznamů: 1