Geodesic
Convergence of an equilibrium finite element model for plane elastostatics
Applications of Mathematics, Tome 24 (1979) no. 6, pp. 427-457
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An equilibrium triangular block-element, proposed by Watwood and Hartz, is subjected to an analysis and its approximability property is proved. If the solution is regular enough, a quasi-optimal error estimate follows for the dual approximation to the mixed boundary value problem of elasticity (based on Castigliano's principle). The convergence is proved even in a general case, when the solution is not regular.
An equilibrium triangular block-element, proposed by Watwood and Hartz, is subjected to an analysis and its approximability property is proved. If the solution is regular enough, a quasi-optimal error estimate follows for the dual approximation to the mixed boundary value problem of elasticity (based on Castigliano's principle). The convergence is proved even in a general case, when the solution is not regular.
DOI : 10.21136/AM.1979.103826
Classification : 35J20, 49S05, 65N30, 73K25, 74S05, 74S30
Keywords: convergence; equilibrium; plane elastostatics; principle of minimum complementary energy; weak version of Castigliano principle 
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Hlaváček, Ivan. Convergence of an equilibrium finite element model for plane elastostatics. Applications of Mathematics, Tome 24 (1979) no. 6, pp. 427-457. doi: 10.21136/AM.1979.103826

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