Adaptive refinement for least‐squares finite elements with element‐by‐element conjugate gradient solution

1 March 1987

journal article
research article
Published by Wiley in International Journal for Numerical Methods in Engineering

Vol. 24 (3) , 569-580
https://doi.org/10.1002/nme.1620240308

Abstract

An error analysis and an adaptive refinement scheme are developed for use with a class of least‐squares finite element methods. The error indicators for the refinement procedure are based on element residuals which are calculated as part of the least‐squares method. The solution scheme used in the supporting numerical studies employs an elment‐by‐element conjugate gradient algorithm. Consequently, storage and computation are not influenced by nodal numbering.

Keywords

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