Abstract
A theoretical foundation is given for a recently proposed continuation method for nonlinear variational inequalities that depend on a parameter. The use of a specific norm of the solution for the continuation permits to extend known theoretical results for this problem. Additionally extensive numerical results were obtained that not only show the effectiveness of the proposed method. They also clarify the phenomenon of discrete or spurious transition points observed earlier.
Supported by the Air Force Office of Scientific Research under Grant AFOSR-84-0315.
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Miersemann, E., Mittelmann, H.D. (1990). Continuation for parametrized nonlinear variational inequalities. In: Mittelmann, H.D., Roose, D. (eds) Continuation Techniques and Bifurcation Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 92. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5681-2_2
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DOI: https://doi.org/10.1007/978-3-0348-5681-2_2
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