Mixed Finite Element Method for a Degenerate Convex Variational Problem from Topology Optimization
نویسندگان
چکیده
The optimal design task of this paper seeks the distribution of two materials of prescribed amounts for maximal torsion stiffness of an infinite bar of given cross section. This example of relaxation in topology optimisation leads to a degenerate convex minimisation problem
منابع مشابه
Mixed Finite Element Method for a Degenerate Convex Variational Problem from Topology
The optimal design task of this paper seeks the distribution of two materials of prescribed amounts for maximal torsion stiffness of an infinite bar of a given cross section. This example of relaxation in topology optimization leads to a degenerate convex minimization problem E (v) := ∫ Ω φ0 (|∇v|) dx− ∫ Ω fv dx for v ∈ V := H1 0 (Ω) with possibly multiple primal solutions u, but with unique st...
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عنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 50 شماره
صفحات -
تاریخ انتشار 2012