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Efficient visualization of high-order finite elements

Remacle, Jean-François and Chevaugeon, Nicolas and Marchandise, Émilie and Geuzaine, Christophe (2007) Efficient visualization of high-order finite elements. International Journal for Numerical Methods in Engineering, 69 (4). pp. 750-771. ISSN 0029-5981. doi:10.1002/nme.1787. https://resolver.caltech.edu/CaltechAUTHORS:20100315-113459780

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Abstract

A general method for the post-processing treatment of high-order finite element fields is presented. The method applies to general polynomial fields, including discontinuous finite element fields. The technique uses error estimation and h-refinement to provide an optimal visualization grid. Some filtering is added to the algorithm in order to focus the refinement on a visualization plane or on the computation of one single iso-zero surface. 2D and 3D examples are provided that illustrate the power of the technique. In addition, schemes and algorithms that are discussed in the paper are readily available as part of an open source project that is developed by the authors, namely Gmsh.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1002/nme.1787DOIUNSPECIFIED
http://www3.interscience.wiley.com/journal/112659093/abstractPublisherUNSPECIFIED
Additional Information:© 2005 John Wiley & Sons, Ltd. Received: 8 July 2005; Revised: 16 February 2006; Accepted: 25 April 2006. The various components of this work were supported by the European Community through Messiaen, a Specific Target Research Programme of the 6th framework programme and the Belgian National Fund for Scientific Research (FNRS).
Funders:
Funding AgencyGrant Number
European Community through MessiaenUNSPECIFIED
Specific Target Research Programme of the 6th framework programmeUNSPECIFIED
Belgian National Fund for Scientific Research (FNRS)UNSPECIFIED
Subject Keywords:High order finite elements; Discontinuous Galerkin; Scientific visualization
Issue or Number:4
DOI:10.1002/nme.1787
Record Number:CaltechAUTHORS:20100315-113459780
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100315-113459780
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17736
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:15 Mar 2010 21:19
Last Modified:08 Nov 2021 23:38

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