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A variational principle for adaptive approximation of ordinary differential equations
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
2003 (English)In: Numerische Mathematik, ISSN 0029-599X, E-ISSN 0945-3245, Vol. 96, no 1, 131-152 p.Article in journal (Refereed) Published
Abstract [en]

A variational principle, inspired by optimal control, yields a simple derivation of an error representation, global error = Sigma local error . weight, for general approximation of functions of solutions to ordinary differential equations. This error representation is then approximated by a sum of computable error indicators, to obtain a useful global error indicator for adaptive mesh refinements. A uniqueness formulation is provided for desirable error representations of adaptive algorithms.

Place, publisher, year, edition, pages
2003. Vol. 96, no 1, 131-152 p.
Keyword [en]
time-step control
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-23001DOI: 10.1007/s00211-003-0467-8ISI: 000186956500006OAI: oai:DiVA.org:kth-23001DiVA: diva2:341699
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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