Matches in SemOpenAlex for { <https://semopenalex.org/work/W2210198103> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2210198103 endingPage "104" @default.
- W2210198103 startingPage "101" @default.
- W2210198103 abstract "Optimal control problems involving partial differential equation are nowadays receiving much attention because of their importance in the industrial design process. Especially, the need for accurate and efficient solution methods for these problems has become an important issue. We consider a finite element framework and multigrid methods for the case of a partial differential equation control problem with a finite number of design parameters. This present work is characterized by the fact that we extend known analytic tools for scalar elliptic problems to the case of a non symmetric system of elliptic partial differential equation, called an optimality system. First, we prove stability of the finite element optimality system and prove the error estimates in the discrete L² norm and in the discrete H¹ norm. And then, the convergence of the multigrid method to weak solutions of the optimality system is proved. Moreover, this multigrid convergence does not require special assumptions on the boundary, it applies to polygonal domains." @default.
- W2210198103 created "2016-06-24" @default.
- W2210198103 creator A5002050100 @default.
- W2210198103 creator A5028819030 @default.
- W2210198103 creator A5085650215 @default.
- W2210198103 date "2006-05-01" @default.
- W2210198103 modified "2023-09-24" @default.
- W2210198103 title "The convergence of the finite element multigrid solution of an optimal control optimality system" @default.
- W2210198103 cites W1576642689 @default.
- W2210198103 cites W2269263762 @default.
- W2210198103 hasPublicationYear "2006" @default.
- W2210198103 type Work @default.
- W2210198103 sameAs 2210198103 @default.
- W2210198103 citedByCount "0" @default.
- W2210198103 crossrefType "journal-article" @default.
- W2210198103 hasAuthorship W2210198103A5002050100 @default.
- W2210198103 hasAuthorship W2210198103A5028819030 @default.
- W2210198103 hasAuthorship W2210198103A5085650215 @default.
- W2210198103 hasConcept C121332964 @default.
- W2210198103 hasConcept C126255220 @default.
- W2210198103 hasConcept C134306372 @default.
- W2210198103 hasConcept C135628077 @default.
- W2210198103 hasConcept C137119250 @default.
- W2210198103 hasConcept C162324750 @default.
- W2210198103 hasConcept C17744445 @default.
- W2210198103 hasConcept C182310444 @default.
- W2210198103 hasConcept C191795146 @default.
- W2210198103 hasConcept C199539241 @default.
- W2210198103 hasConcept C2524010 @default.
- W2210198103 hasConcept C2777303404 @default.
- W2210198103 hasConcept C28826006 @default.
- W2210198103 hasConcept C33923547 @default.
- W2210198103 hasConcept C50522688 @default.
- W2210198103 hasConcept C54067925 @default.
- W2210198103 hasConcept C57691317 @default.
- W2210198103 hasConcept C91575142 @default.
- W2210198103 hasConcept C93779851 @default.
- W2210198103 hasConcept C97355855 @default.
- W2210198103 hasConceptScore W2210198103C121332964 @default.
- W2210198103 hasConceptScore W2210198103C126255220 @default.
- W2210198103 hasConceptScore W2210198103C134306372 @default.
- W2210198103 hasConceptScore W2210198103C135628077 @default.
- W2210198103 hasConceptScore W2210198103C137119250 @default.
- W2210198103 hasConceptScore W2210198103C162324750 @default.
- W2210198103 hasConceptScore W2210198103C17744445 @default.
- W2210198103 hasConceptScore W2210198103C182310444 @default.
- W2210198103 hasConceptScore W2210198103C191795146 @default.
- W2210198103 hasConceptScore W2210198103C199539241 @default.
- W2210198103 hasConceptScore W2210198103C2524010 @default.
- W2210198103 hasConceptScore W2210198103C2777303404 @default.
- W2210198103 hasConceptScore W2210198103C28826006 @default.
- W2210198103 hasConceptScore W2210198103C33923547 @default.
- W2210198103 hasConceptScore W2210198103C50522688 @default.
- W2210198103 hasConceptScore W2210198103C54067925 @default.
- W2210198103 hasConceptScore W2210198103C57691317 @default.
- W2210198103 hasConceptScore W2210198103C91575142 @default.
- W2210198103 hasConceptScore W2210198103C93779851 @default.
- W2210198103 hasConceptScore W2210198103C97355855 @default.
- W2210198103 hasIssue "1" @default.
- W2210198103 hasLocation W22101981031 @default.
- W2210198103 hasOpenAccess W2210198103 @default.
- W2210198103 hasPrimaryLocation W22101981031 @default.
- W2210198103 hasRelatedWork W1514005588 @default.
- W2210198103 hasRelatedWork W1974791647 @default.
- W2210198103 hasRelatedWork W1975523608 @default.
- W2210198103 hasRelatedWork W1976128147 @default.
- W2210198103 hasRelatedWork W1984783803 @default.
- W2210198103 hasRelatedWork W1988719701 @default.
- W2210198103 hasRelatedWork W2082400477 @default.
- W2210198103 hasRelatedWork W2148033377 @default.
- W2210198103 hasRelatedWork W2171601402 @default.
- W2210198103 hasRelatedWork W2217173422 @default.
- W2210198103 hasRelatedWork W2272574618 @default.
- W2210198103 hasRelatedWork W2297184705 @default.
- W2210198103 hasRelatedWork W2509046148 @default.
- W2210198103 hasRelatedWork W2530376425 @default.
- W2210198103 hasRelatedWork W2773371331 @default.
- W2210198103 hasRelatedWork W2907655646 @default.
- W2210198103 hasRelatedWork W2913461053 @default.
- W2210198103 hasRelatedWork W2950212143 @default.
- W2210198103 hasRelatedWork W2963856579 @default.
- W2210198103 hasRelatedWork W3102072430 @default.
- W2210198103 hasVolume "1" @default.
- W2210198103 isParatext "false" @default.
- W2210198103 isRetracted "false" @default.
- W2210198103 magId "2210198103" @default.
- W2210198103 workType "article" @default.