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Local error estimation and adaptive remeshing scheme for least-squares mixed finite elements

✍ Scribed by G.F. Carey; A.I. Pehlivanov

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
620 KB
Volume
150
Category
Article
ISSN
0045-7825

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✦ Synopsis

Following the theme of our previous work on least-squares finite elements [ 10,281, we describe an adaptive remeshing scheme using local residuals as the error indicator. This choice of indicator is natural (and exact at the element level!) in the norm associated with the corresponding least-squares statement. The remeshing strategy applied here involves mesh enrichment by point insertion in a Delaunay scheme. Several refined grids and error plots are included for a representative model elliptic boundary-value problem.

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