ISSN:
0271-2091
Keywords:
incompressible flow
;
mixed formulations
;
stabilized algorithms
;
Fourier analysis
;
finite elements
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
We present a method to assess the stability of pairs of interpolation spaces for mixed formulations. The method is based on a straightforward calculation of the eigenvalues of the discrete matrices through Fourier decomposition in plane waves and is intended to give, via straightforward numerical computations, a sharper determination of stability than the well-known ‘patch test’ of Zienkiewicz et al. Special attention is devoted to the study of stability and accuracy of equal-order interpolations.
Additional Material:
34 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650200819