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- W4299126414 abstract "The optimal insulation of a heat conducting body by a thin film of variable thickness can be formulated as a nondifferentiable, nonlocal eigenvalue problem. The discretization and iterative solution for the reliable computation of corresponding eigenfunctions that determine the optimal layer thickness are addressed. Corresponding numerical experiments confirm the theoretical observation that a symmetry breaking occurs for the case of small available insulation masses and provide insight in the geometry of optimal films. An experimental shape optimization indicates that convex bodies with one axis of symmetry have favorable insulation properties." @default.
- W4299126414 created "2022-10-02" @default.
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- W4299126414 date "2017-08-12" @default.
- W4299126414 modified "2023-10-16" @default.
- W4299126414 title "Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation" @default.
- W4299126414 doi "https://doi.org/10.48550/arxiv.1708.03762" @default.
- W4299126414 hasPublicationYear "2017" @default.
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