Geodesic
Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods
Applications of Mathematics, Tome 33 (1988) no. 5, pp. 362-373

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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.
DOI : 10.21136/AM.1988.104317
Classification : 35B10, 35L70, 35L75, 58C15, 65N35, 65Z05, 73K05, 74K10
Keywords: accelerated convergence methods; smoothing operators; time-periodic solutions; quasilinear beam equation; Newton method; Galerkin method 
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     author = {Feireisl, Eduard},
     title = {Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods},
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Feireisl, Eduard. Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods. Applications of Mathematics, Tome 33 (1988) no. 5, pp. 362-373. doi: 10.21136/AM.1988.104317

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