منابع مشابه
Free Gradient Discontinuities
Various problems in continuum mechanics or artificial intelligence can be modelled by integral functionals depending on second order derivatives of competing functions and on closed sets where discontinuities for either such functions or their first derivatives are allowed. The existence of minimizers for such functionals is shown together with some information about their regularity.
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Optimal control of the 1-D Riemann problem of Euler equations is studied, with the initial values for pressure and density as control parameters. The least-squares type cost functional employs either distributed observations in time or observations calculated at the end of the assimilation window. Existence of solutions for the optimal control problem is proven. Smooth and nonsmooth optimizatio...
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In this paper a version of the optimal homotopy asymptotic method (OHAM) has been proposed and applied to nonlinear oscillators with discontinuities. The main objective was to obtain highly accurate analytical solutions for a particular antisymmetric constant force oscillator using this new procedure. The proposed procedure proved to be very effective and accurate and did not require linearizat...
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Free form shapes are often used to fulfil both aesthetic and design constraints applied to parametric models currently adopted in CAD environments. Up to now, designers and engineers have mainly access either to indirect manipulations of free form surfaces using their control network or to low-level deformation functions at prescribed points and along a line on a surface. Based on a study of de...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2019
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-018-01348-3