Feedback and adaptive finite element solution of one-dimensional boundary value problems

I. Bubuška; M. Vogelius

doi:10.1007/BF01389757

Feedback and adaptive finite element solution of one-dimensional boundary value problems

I. Bubuška, M. Vogelius

Research output: Contribution to journal › Article › peer-review

103 Scopus citations

Abstract

This paper examines the concepts of feedback and adaptivity for the Finite Element Method. The model problem concerns C⁰ elements of arbitrary, fixed degree for a one-dimensional two-point boundary value problem. Three different feedback methods are introduced and a detailed analysis of their adaptivity is given.

Original language	English (US)
Pages (from-to)	75-102
Number of pages	28
Journal	Numerische Mathematik
Volume	44
Issue number	1
DOIs	https://doi.org/10.1007/BF01389757
State	Published - Feb 1 1984
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Keywords

Subject Classifications: AMS(MOS): 65L10, CR: 5.17

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10.1007/BF01389757

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abstract = "This paper examines the concepts of feedback and adaptivity for the Finite Element Method. The model problem concerns C0 elements of arbitrary, fixed degree for a one-dimensional two-point boundary value problem. Three different feedback methods are introduced and a detailed analysis of their adaptivity is given.",

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