Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/54725
DC FieldValue
dc.titleA posteriori output bound for partial differential equations based on elemental error bound computing
dc.contributor.authorXuan, Z.C.
dc.contributor.authorLee, K.H.
dc.contributor.authorPeraire, J.
dc.date.accessioned2014-06-16T09:34:09Z
dc.date.available2014-06-16T09:34:09Z
dc.date.issued2003
dc.identifier.citationXuan, Z.C.,Lee, K.H.,Peraire, J. (2003). A posteriori output bound for partial differential equations based on elemental error bound computing. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2667 : 1035-1044. ScholarBank@NUS Repository.
dc.identifier.issn03029743
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/54725
dc.description.abstractAn efficient parallel a posteriori output bound procedure for linear functional of finite element solution of partial differential equations is presented. This procedure is based on independently solving the error bound for finite element solution in local elemental Neumann sub-problems. In each subproblem a modified error residual equation which satisfies consistency without needing any complemental conditions is solved for the error bound for the finite element solution. The error bounds for both primal and dual problems are directly used in the output bound which is obtained from optimizing an augmented Lagrangian with a quadratic energy reformulation of the desired output as the objective and finite element equilibrium conditions and interelement continuity requirements as constraints. The algorithm is verified by an example of 2D Poisson problem in the last of the paper. © Springer-Verlag Berlin Heidelberg 2003.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.sourcetitleLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
dc.description.volume2667
dc.description.page1035-1044
dc.identifier.isiutNOT_IN_WOS
Appears in Collections:Staff Publications

Show simple item record
Files in This Item:
There are no files associated with this item.

Page view(s)

50
checked on Oct 13, 2019

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.