# Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods

Aplikace matematiky (1988)

- Volume: 33, Issue: 5, page 362-373
- ISSN: 0862-7940

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topFeireisl, Eduard. "Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods." Aplikace matematiky 33.5 (1988): 362-373. <http://eudml.org/doc/15550>.

@article{Feireisl1988,

abstract = {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.},

author = {Feireisl, Eduard},

journal = {Aplikace matematiky},

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},

language = {eng},

number = {5},

pages = {362-373},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods},

url = {http://eudml.org/doc/15550},

volume = {33},

year = {1988},

}

TY - JOUR

AU - Feireisl, Eduard

TI - Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods

JO - Aplikace matematiky

PY - 1988

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 33

IS - 5

SP - 362

EP - 373

AB - 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.

LA - eng

KW - 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

UR - http://eudml.org/doc/15550

ER -

## References

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- H. Petzeltová M. Štědrý, Time-periodic solutions of telegraph equations in n spatial variables, Časopis pěst. mat. 109 (1984), pp. 60-73. (1984) Zbl0544.35011MR0741209
- M. Štědrý, Periodic solutions of nonlinear equations of a beam with damping, Czech. Thesis, Math. Inst. Czechoslovak Acad. Sci., Prague 1973. (1973)
- O. Vejvoda, al., Partial differential equations - time periodic solutions, Sijthoff Noordhoff 1981. (1981)

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