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Showing 1 to 5 of 5 for “"admissible set"”.
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Scalar curvature on noncompact complete Riemannian manifolds
… we calculate the Sobolev Quotient on a special admissible set whose elements are candidates for complete solutions. By studying the conformal structure at infinity, the behavior of scalar curvature and the Ricci curvatue in radial direction, we also obtain a sufficient condition for the …
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Computation of upper and lower bounds in limit analysis using second-order cone programming and mesh adaptivity
… the internal work rate is maximized over an admissible set of stresses -defined by a yield condition- and minimized over the linear space of kinematically admissible velocities for which the external work rate equals the unity. When strong duality is applied to this saddle point problem, the …
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An Optimal Control Approach to Implant Shape Design : Modeling, Analysis and Numerics
… estimator that fits into the affine covariant setting is presented. The presented composite step method was implemented in the C++ finite element library Kaskade 7. The performance of the algorithm is demonstrated on several examples. Next to simple optimization problems, with admissible set …
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Properties of p-modulus on radially symmetric infinite trees
… finite graphs have analogs in the infinite tree setting, the infinite nature of the problem setting gives rise to a number of interesting and subtle properties. For example, while modulus problems on a finite graph involve optimization in a finite-dimensional space with a finite number of …
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Optimal Control Problems Governed by Nonlinear Partial Differential Equations and Inclusions
… satisfy boundedness conditions on restricted sets. At first an optimal control problem is considered, which is characterized by a Laplace equation with Dirichlet boundary conditions and a nonlinear non-monotone Nemytskii operator. Under the decisive assumption of the existence of so called …