Geodesic
A mixed finite element method close to the equilibrium model applied to plane elastostatics
Applications of Mathematics, Tome 21 (1976) no. 1, pp. 28-42
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A new variational formulation of the displacement boundary value problem in linear plane elastostatics is established on the basis of a nonclassical spliting of the system of differential operators and the Friedrichs transform. The variational problem is proved to be correct and an application is shown, which yields a mixed finite element model. Two components of the approximate vector-field converge to the real displacements and the third to the shear stress.
A new variational formulation of the displacement boundary value problem in linear plane elastostatics is established on the basis of a nonclassical spliting of the system of differential operators and the Friedrichs transform. The variational problem is proved to be correct and an application is shown, which yields a mixed finite element model. Two components of the approximate vector-field converge to the real displacements and the third to the shear stress.
DOI : 10.21136/AM.1976.103620
Classification : 35A35, 35J20, 35Q99, 65N30, 74B99, 74H99 
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Haslinger, Jaroslav; Hlaváček, Ivan. A mixed finite element method close to the equilibrium model applied to plane elastostatics. Applications of Mathematics, Tome 21 (1976) no. 1, pp. 28-42. doi: 10.21136/AM.1976.103620

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[6] Courant R., Hilbert D.: Methods of Mathematical Physics. Vol. 1, Interscience, New York, 1953. | MR | Zbl

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