On the role of mass operators in the group finite element formulation
type: Item
instance of: scholarly article
title: On the role of mass operators in the group finite element formulation
zbMATH Open document ID: 0598.76026
DOI: 10.1016/0045-7825(84)90107-5
author: B. George
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1984-01-01T00:00:00Z
review text: The influence of the mass operators on the accuracy, economy and computational efficiency of the time-split group finite element formulation is investigated for the viscous flow over a backward-facing step. On a coarse grid it is found that mass operators must be retained adjacent to the computational boundaries to obtain the correct steady- state solution. The present time-split (or approximate factorization) group finite element formulation is only 18 \% less economical than a fully lumped (equivalent to a finite difference) formulation. If mass lumping is introduced in the interior only, the solution is almost as accurate as if the full mass operators are retained, but there is little gain in economy in two dimensions. An operation-count estimate indicates that interior mass lumping would be about 40 \% more economical than retaining the mass operators in three dimensions.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3965659
zbMATH Keywords: mass operators
zbMATH Keywords: time-split group finite element formulation
zbMATH Keywords: flow over a backward-facing step.
zbMATH Keywords: computational boundaries
zbMATH Keywords: steady-state solution
zbMATH Keywords: mass lumping
describes a project that uses: FIDAP
MaRDI profile type: Publication
full work available at URL: 0045-7825(84)90107-5
OpenAlex ID: W2089183012
cites work: Q3343616
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cites work: FIDAP (A Fluid Dynamics Analysis Program)
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description: scientific article; zbMATH DE number 3965659