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pro vyhledávání: '"Shape derivative"'
We consider the inverse problem of determining an elastic dislocation that models a seismic fault in the quasi-static regime of aseismic, creeping faults, from displacement measurements made at the surface of Earth. We derive both a distributed as we
Externí odkaz:
http://arxiv.org/abs/2410.04273
Autor:
Takahashi, Toru
This study proposes a versatile and efficient optimisation method for discrete coils that induce a magnetic field by their steady currents. The prime target is gradient coils for MRI (Magnetic Resonance Imaging). The derivative (gradient) of the $z$-
Externí odkaz:
http://arxiv.org/abs/2404.00967
Autor:
Hanke, Martin
We consider the conductivity problem for a homogeneous body with an inclusion of a different, but known, conductivity. Our interest concerns the associated shape derivative, i.e., the derivative of the corresponding electrostatic potential with respe
Externí odkaz:
http://arxiv.org/abs/2402.02793
Autor:
Baumann, Phillip, Sturm, Kevin
This paper is concerned with the minimisation of peak stresses occurring in linear elasticity. We propose to minimise the maximal von Mises stress of the elastic body. This leads to a nonsmooth shape functional. We derive the shape derivative and ass
Externí odkaz:
http://arxiv.org/abs/2402.12978
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The objective of this study is to address the difficulty of simplifying the geometric model in which a differential problem is formulated, also called defeaturing, while simultaneously ensuring that the accuracy of the solution is maintained under co
Externí odkaz:
http://arxiv.org/abs/2306.05384
Publikováno v:
AIMS Mathematics, Vol 8, Iss 8, Pp 19773-19793 (2023)
We consider the shape derivative formula for a volume cost functional studied in previous papers where we used the Minkowski deformation and support functions in the convex setting. In this work, we extend it to some non-convex domains, namely the st
Externí odkaz:
https://doaj.org/article/19e035659d734526baf921597667afa1
We obtain shape derivative formulae for the first eigenvalue of the Robin $p$-Laplace operator. This result is used to study the variation of the first eigenvalue with respect to perturbations of the domain. In particular, we prove that for large val
Externí odkaz:
http://arxiv.org/abs/2208.05183
Publikováno v:
In Computer-Aided Design February 2024 167
Akademický článek
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