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Approximation of the bifurcation function for elliptic boundary value problems

✍ Scribed by Michael W. Smiley; Changbum Chun

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 199 KB
Volume: 16
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(200003)16:2<194::aid-num4>3.0.co;2-7

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✦ Synopsis

The bifurcation function for an elliptic boundary value problem is a vector field B(ω) on R d whose zeros are in a one-to-one correspondence with the solutions of the boundary value problem. Finite element approximations of the boundary value problem are shown to give rise to an approximate bifurcation function B h (ω), which is also a vector field on R d . Estimates of the difference B(ω) -B h (ω) are derived, and methods for computing B h (ω) are discussed.

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