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Existence of Set-interpolating and Energy-minimizing Curves by Johannes Wallner is a Engineering article available to read on EtoBox.
What is Existence of Set-interpolating and Energy-minimizing Curves about?
We consider existence of curves c : [0, 1] → R n which minimize an energy of the form is some closed set, and the indices j range in some index set J . This includes the problem of finding energy minimizing interpolants restricted to surfaces, and also variational near-interpolating problems. The norm used for vectors does not have to be Euclidean. It is shown that such an energy minimizer exists if there exists a curve satisfying the side conditions at all, and if among the interpolation conditions there are at least k points to be interpolated. In the case k = 1, some relations to arc length are shown.
Who reads Existence of Set-interpolating and Energy-minimizing Curves?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Johannes Wallner
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-8396)
- Published
- 2004
- Language
- EN
- Field
- Engineering (Physical Sciences)