Abstract
Path following of a semilinear elliptic problem is considered at its simple and corank-2 bifurcation points. Exploiting the scaling laws and symmetries of the problem, we show that bifurcation points can be divided into equivalent classes and path following of solution branches can be confined to the fundamental domains, which reduce the computational work and improve the numerical conditioning of the problem.
The work was supported by the Deutsche Forschungsgemeinschaft, F. R. Germany.
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© 1992 Birkhäuser Verlag Basel
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Mei, Z. (1992). Utilization of Scaling Laws and Symmetries in the Path Following of a Semilinear Elliptic Problem. In: Allgower, E.L., Böhmer, K., Golubitsky, M. (eds) Bifurcation and Symmetry. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 104. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7536-3_23
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DOI: https://doi.org/10.1007/978-3-0348-7536-3_23
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