Remarks on quadrilateral finite elements for a fluid-structure eigenproblem

Daniele Boffi; Lucia Gastaldi

Remarks on quadrilateral finite elements for a fluid-structure eigenproblem

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Recent results show that a special care has to be taken into account when using quadrilateral finite elements. We apply these results to a mixed finite element scheme used for the approximation of an eigenvalue problem arising in the framework of fluidstructure interaction. Numerical results confirm that the optimal rate of convergence can be achieved on general quadrilateral meshes only if the discontinuous piecewise linear elements approximating the pressures are handled in the appropriate way. 1.

Original language	English (US)
Title of host publication	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
State	Published - Dec 1 2000
Externally published	Yes

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title = "Remarks on quadrilateral finite elements for a fluid-structure eigenproblem",

abstract = "Recent results show that a special care has to be taken into account when using quadrilateral finite elements. We apply these results to a mixed finite element scheme used for the approximation of an eigenvalue problem arising in the framework of fluidstructure interaction. Numerical results confirm that the optimal rate of convergence can be achieved on general quadrilateral meshes only if the discontinuous piecewise linear elements approximating the pressures are handled in the appropriate way. 1.",

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PY - 2000/12/1

Y1 - 2000/12/1

N2 - Recent results show that a special care has to be taken into account when using quadrilateral finite elements. We apply these results to a mixed finite element scheme used for the approximation of an eigenvalue problem arising in the framework of fluidstructure interaction. Numerical results confirm that the optimal rate of convergence can be achieved on general quadrilateral meshes only if the discontinuous piecewise linear elements approximating the pressures are handled in the appropriate way. 1.

AB - Recent results show that a special care has to be taken into account when using quadrilateral finite elements. We apply these results to a mixed finite element scheme used for the approximation of an eigenvalue problem arising in the framework of fluidstructure interaction. Numerical results confirm that the optimal rate of convergence can be achieved on general quadrilateral meshes only if the discontinuous piecewise linear elements approximating the pressures are handled in the appropriate way. 1.

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M3 - Conference contribution

SN - 8489925704

BT - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

ER -

Remarks on quadrilateral finite elements for a fluid-structure eigenproblem

Abstract

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