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A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh–Bénard problems

✍ Scribed by Myoungnyoun Kim; Mitsuhiro T. Nakao; Yoshitaka Watanabe; Takaaki Nishida


Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
407 KB
Volume
111
Category
Article
ISSN
0029-599X

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We consider a numerical enclosure method with guaranteed L ϱ error bounds for the solution of nonlinear elliptic problems of second order. By using an a posteriori error estimate for the approximate solution of the problem with a higher order C 0 -finite element, it is shown that we can obtain the g