Matches in SemOpenAlex for { <https://semopenalex.org/work/W2945621520> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2945621520 abstract "In this work we propose a novel numerical method for a finite-dimensional optimization problem arising from the discretization of an infinite-dimensional constrained optimization problem, called an obstacle problem, with interval coefficients. In this method, the two different ways of characterizing the optimal solutions, i.e., minimizing the mid-point and one end-point (the worst-case scenario) or the mid-point and the width of the objective interval, are formulated as a single constrained multi-objective minimization problem and the KKT conditions of the optimization problem defining the Pareto optimal solution to the multi-objective problem are of the form of a Linear Complementarity Problem (LCP) which is shown to have a unique solution. The LCP is the approximated by a non-linear equation using an interior penalty approach. We prove that the penalty equation is uniquely solvable and its solution converges to that of LCP as the penalty constant approaches to zero. Numerical results are presented to demonstrate the usefulness of the numerical method proposed." @default.
- W2945621520 created "2019-05-29" @default.
- W2945621520 creator A5005426960 @default.
- W2945621520 date "2020-01-01" @default.
- W2945621520 modified "2023-09-24" @default.
- W2945621520 title "Numerical solution of an obstacle problem with interval coefficients" @default.
- W2945621520 cites W1516681311 @default.
- W2945621520 cites W158727854 @default.
- W2945621520 cites W1967077838 @default.
- W2945621520 cites W1973734332 @default.
- W2945621520 cites W1985813549 @default.
- W2945621520 cites W1989704979 @default.
- W2945621520 cites W2009054772 @default.
- W2945621520 cites W2009758399 @default.
- W2945621520 cites W2014001084 @default.
- W2945621520 cites W2026362690 @default.
- W2945621520 cites W2030129759 @default.
- W2945621520 cites W2058585891 @default.
- W2945621520 cites W2061027379 @default.
- W2945621520 cites W2066207284 @default.
- W2945621520 cites W2072002558 @default.
- W2945621520 cites W2080680537 @default.
- W2945621520 cites W2128234186 @default.
- W2945621520 cites W2183873878 @default.
- W2945621520 cites W2315728924 @default.
- W2945621520 cites W2324428025 @default.
- W2945621520 cites W634377812 @default.
- W2945621520 doi "https://doi.org/10.3934/naco.2019030" @default.
- W2945621520 hasPublicationYear "2020" @default.
- W2945621520 type Work @default.
- W2945621520 sameAs 2945621520 @default.
- W2945621520 citedByCount "0" @default.
- W2945621520 crossrefType "journal-article" @default.
- W2945621520 hasAuthorship W2945621520A5005426960 @default.
- W2945621520 hasBestOaLocation W29456215201 @default.
- W2945621520 hasConcept C114614502 @default.
- W2945621520 hasConcept C121332964 @default.
- W2945621520 hasConcept C126255220 @default.
- W2945621520 hasConcept C132369183 @default.
- W2945621520 hasConcept C134306372 @default.
- W2945621520 hasConcept C137836250 @default.
- W2945621520 hasConcept C158622935 @default.
- W2945621520 hasConcept C161999928 @default.
- W2945621520 hasConcept C2778067643 @default.
- W2945621520 hasConcept C28826006 @default.
- W2945621520 hasConcept C33923547 @default.
- W2945621520 hasConcept C34320192 @default.
- W2945621520 hasConcept C48753275 @default.
- W2945621520 hasConcept C50454189 @default.
- W2945621520 hasConcept C55660270 @default.
- W2945621520 hasConcept C6180225 @default.
- W2945621520 hasConcept C62520636 @default.
- W2945621520 hasConcept C73000952 @default.
- W2945621520 hasConceptScore W2945621520C114614502 @default.
- W2945621520 hasConceptScore W2945621520C121332964 @default.
- W2945621520 hasConceptScore W2945621520C126255220 @default.
- W2945621520 hasConceptScore W2945621520C132369183 @default.
- W2945621520 hasConceptScore W2945621520C134306372 @default.
- W2945621520 hasConceptScore W2945621520C137836250 @default.
- W2945621520 hasConceptScore W2945621520C158622935 @default.
- W2945621520 hasConceptScore W2945621520C161999928 @default.
- W2945621520 hasConceptScore W2945621520C2778067643 @default.
- W2945621520 hasConceptScore W2945621520C28826006 @default.
- W2945621520 hasConceptScore W2945621520C33923547 @default.
- W2945621520 hasConceptScore W2945621520C34320192 @default.
- W2945621520 hasConceptScore W2945621520C48753275 @default.
- W2945621520 hasConceptScore W2945621520C50454189 @default.
- W2945621520 hasConceptScore W2945621520C55660270 @default.
- W2945621520 hasConceptScore W2945621520C6180225 @default.
- W2945621520 hasConceptScore W2945621520C62520636 @default.
- W2945621520 hasConceptScore W2945621520C73000952 @default.
- W2945621520 hasLocation W29456215201 @default.
- W2945621520 hasOpenAccess W2945621520 @default.
- W2945621520 hasPrimaryLocation W29456215201 @default.
- W2945621520 hasRelatedWork W17616428 @default.
- W2945621520 hasRelatedWork W21365305 @default.
- W2945621520 hasRelatedWork W23837348 @default.
- W2945621520 hasRelatedWork W25396552 @default.
- W2945621520 hasRelatedWork W25733641 @default.
- W2945621520 hasRelatedWork W29789597 @default.
- W2945621520 hasRelatedWork W32780757 @default.
- W2945621520 hasRelatedWork W35161100 @default.
- W2945621520 hasRelatedWork W42968626 @default.
- W2945621520 hasRelatedWork W56989278 @default.
- W2945621520 isParatext "false" @default.
- W2945621520 isRetracted "false" @default.
- W2945621520 magId "2945621520" @default.
- W2945621520 workType "article" @default.