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The functional of quadratic temperature gradient is taken as the objective function in our analysis, which is subjected to the state equation of steady heat conduction and volume constrain.
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It is based on the penalization of the objective functional by the multiphase volume constrained Ginzburg Landau energy functional.
The minimization of volume constrained vector-valued Ginzburg Landau energy functional is considered in the present study.
It is an oddly abstract volume, constrained at times by the presence of a censor, stripped of detail about prison life, and concerned with serious theoretical analysis of Tolokonnikova's protest work.
We adopt the common approach of finding an optimal shape by solving a series of explicit convex (linear) approximations to the volume constrained compliance minimization problem.
Using the present method, we created optimal layouts that minimize the volume constraining local stress values for a steady-state fluid and structural interaction system.
The stress stretch relationship comprises of a component associated with volume constrained distortion and a hydrostatic pressure which results in volumetric dilation.
In [14], a minimum volume constrained NMF (MVC-NMF) based on projected gradient (PG) optimization method is proposed, whose regularization term minimizes the simplex volume spanned by the endmembers.
PEEP-induced changes in lung volume and, in particular, regional lung volumes constrain the heart in the cardiac fossa.
This section provides an exact definition of the dose-volume constrained optimization method and its theoretical results.
Although the proposed method of using dynamical systems with piecewise continuous vector fields is well designed for dose-volume constrained optimization, it requires numerical integration with a high computational cost to solve solutions to differential equations.
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