Geodesic
Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides
Applications of Mathematics, Tome 37 (1992) no. 4, pp. 289-312.

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Extending the results of the previous paper [1], the authors consider elastic bodies with two design variables, i.e. "curved trapezoids" with two curved variable sides. The left side is loaded by a hydrostatic pressure. Approximations of the boundary are defined by cubic Hermite splines and piecewise linear finite elements are used for the displacements. Both existence and some convergence analysis is presented for approximate penalized optimal design problems.
DOI : 10.21136/AM.1992.104511
Classification : 65K10, 65N30, 73C99, 73V25, 73k40, 74P10, 74P99, 74S05, 74S30
Keywords: curved trapezoids; penalty method; hydrostatic pressure; cubic Hermite splines; piecewise linear finite elements; existence; convergence; shape optimization; weight minimization; finite elements 
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     title = {Weight minimization of elastic bodies weakly supporting tension. {II.} {Domains} with two curved sides},
     journal = {Applications of Mathematics},
     pages = {289--312},
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Hlaváček, Ivan; Křížek, Michal. Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides. Applications of Mathematics, Tome 37 (1992) no. 4, pp. 289-312. doi : 10.21136/AM.1992.104511. http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104511/

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