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The extended unsymmetric frontal solution for multiple-point constraints

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dc.contributor.authorAreias, Pedro Miguel de Almeida
dc.contributor.authorRabczuk, Timon
dc.contributor.authorBarbosa, Joaquim
dc.date.accessioned2015-08-21T13:58:58Z
dc.date.available2015-08-21T13:58:58Z
dc.date.issued2014
dc.description.abstractThe purpose of this paper is to discuss the linear solution of equality constrained problems by using the Frontal solution method without explicit assembling. Design/methodology/approach - Re-written frontal solution method with a priori pivot and front sequence. OpenMP parallelization, nearly linear (in elimination and substitution) up to 40 threads. Constraints enforced at the local assembling stage. Findings - When compared with both standard sparse solvers and classical frontal implementations, memory requirements and code size are significantly reduced. Research limitations/implications - Large, non-linear problems with constraints typically make use of the Newton method with Lagrange multipliers. In the context of the solution of problems with large number of constraints, the matrix transformation methods (MTM) are often more cost-effective. The paper presents a complete solution, with topological ordering, for this problem. Practical implications - A complete software package in Fortran 2003 is described. Examples of clique-based problems are shown with large systems solved in core. Social implications - More realistic non-linear problems can be solved with this Frontal code at the core of the Newton method. Originality/value - Use of topological ordering of constraints. A-priori pivot and front sequences. No need for symbolic assembling. Constraints treated at the core of the Frontal solver. Use of OpenMP in the main Frontal loop, now quantified. Availability of Software.por
dc.identifier.citationAREIAS, Pedro Miguel de Almeida; RABCZUK, Timon; BARBOSA, Joaquim Infante – The extended unsymmetric frontal solution for multiple-point constraints. Engineering Computations. ISSN: 0264-4401. Vol. 31, nr. 7 (2014), pp. 1582-1607por
dc.identifier.doi10.1108/EC-10-2013-0263
dc.identifier.issn0264-4401
dc.identifier.issn1758-7077
dc.identifier.urihttp://hdl.handle.net/10400.21/4913
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherEmerald Group Publishing Limitedpor
dc.subjectFrontal Solution Methodpor
dc.subjectMultiple Point Constraintspor
dc.subjectOpenMPpor
dc.titleThe extended unsymmetric frontal solution for multiple-point constraintspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceYorkshirepor
oaire.citation.endPage1607por
oaire.citation.issue7por
oaire.citation.startPage1582por
oaire.citation.titleEngineering Computationspor
oaire.citation.volume31por
person.familyNameRabczuk
person.familyNameBarbosa
person.givenNameTimon
person.givenNameJoaquim
person.identifier535461
person.identifier.ciencia-id361B-9965-016F
person.identifier.orcid0000-0002-7150-296X
person.identifier.orcid0000-0002-8219-6435
person.identifier.ridA-3067-2009
person.identifier.ridL-5730-2013
person.identifier.scopus-author-id7202435183
rcaap.rightsclosedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublicationa954bbdd-5124-4829-9db1-5018f6915eaf
relation.isAuthorOfPublicationa7598fac-8160-4003-ab71-5d28a11711dc
relation.isAuthorOfPublication.latestForDiscoverya7598fac-8160-4003-ab71-5d28a11711dc

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