Article
MSC:
35B10,
35L70,
35L75,
58C15,
65N35,
65Z05,
73K05,
74K10 | MR 0961314 | Zbl 0665.65090 | DOI: 10.21136/AM.1988.104317
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Keywords:
accelerated convergence methods; smoothing operators; time-periodic solutions; quasilinear beam equation; Newton method; Galerkin method
accelerated convergence methods; smoothing operators; time-periodic solutions; quasilinear beam equation; Newton method; Galerkin method
Summary:
The author investigates time-periodic solutions of the quasilinear beam equation with the help of accelerated convergence methods. Using the Newton iteration scheme, the problem is approximated by a sequence of linear equations solved via the Galerkin method. The derivatiove loss inherent to this kind of problems is compensated by taking advantage of smoothing operators.
References:
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