Billings, S.A. and Coca, D. (2001) Finite Element Galerkin Models and Identified Finite Element Models-A Comparative Study. Research Report. ACSE Research Report 803 . Department of Automatic Control and Systems Engineering
Abstract
A new approach to derive a finite element discretisation of PDE equations soley from pointwise observations is compared, in terms of approximation accuracy, with the standard finite element Galerkin approach which assumes knowledge of the governing PDE's. It is shown both in theory and by means of an example that, for a given model order, the identified model is more accurate than the equivalent finite element Galerkin approximation derived from the original PDE's.
Metadata
Item Type: | Monograph |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances. |
Keywords: | Distributed Parameter Systems; Finite Element Solutions; Identification Algorithms; Interpolation Approximation; System Identification |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports |
Depositing User: | MRS ALISON THERESA BARNETT |
Date Deposited: | 21 Jan 2015 12:53 |
Last Modified: | 02 Nov 2016 16:40 |
Status: | Published |
Publisher: | Department of Automatic Control and Systems Engineering |
Series Name: | ACSE Research Report 803 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:82996 |