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flow applications of the least squares finite element methodThe main thrust of the effort has been towards the development, analysis and implementation of the least-squares finite element method (LSFEM) for fluid dynamics and electromagnetics applications. In the past year, there were four major accomplishments: 1) special treatments in computational fluid dynamics and computational electromagnetics, such as upwinding, numerical dissipation, staggered grid, non-equal order elements, operator splitting and preconditioning, edge elements, and vector potential are unnecessary; 2) the analysis of the LSFEM for most partial differential equations can be based on the bounded inverse theorem; 3) the finite difference and finite volume algorithms solve only two Maxwell equations and ignore the divergence equations; and 4) the first numerical simulation of three-dimensional Marangoni-Benard convection was performed using the LSFEM.
Document ID
19990036230
Document Type
Other
Authors
Jiang, Bo-Nan
(Ohio Aerospace Inst. Cleveland, OH United States)
Date Acquired
August 19, 2013
Publication Date
January 1, 1998
Subject Category
Numerical Analysis
Funding Number(s)
CONTRACT_GRANT: NCC3-543
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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