Sentence examples for based on variational principles from inspiring English sources
We discuss our work based on variational principles and show how the results can be used to track fibers in the white matter (WM) as geodesics in some Riemannian space.
The present results extend previous analyses for creeping drag flow past a cylinder in an infinite medium based on variational principles and provide calculations of the drag coefficient around a cylinder in the case of wall effects.
Such eigensystem information is central to transient stability analysis of Navier-Stokes solvers, for determining the modal behavior of fluid in a fluid-structure interaction problem and for development of reduced order models based on variational principles for Navier-Stokes solvers.
Based on variational principle our method can generate surfaces by minimizing the objective function newly proposed in this paper for given arbitrary boundary curves.
The governing equations are derived based on variational principle considering thermo-mechanical equilibrium and the spatial distribution of the nonlocal volume fraction of martensite during transformation.
Both two-dimensional (2D) and three-dimensional (3D) collapse mechanisms formed by multi-surfaces are proposed in kinematic analyses where upper bound solutions of the failure mechanism are derived based on variational principle and stepwise optimization technique.
Using rotor dynamics, structure dynamics and acoustical theory, the vibro-acoustic coupling equation of a cylindrical shell under rotor-bearing-foundation system׳s nonlinear vibration excitations is derived based on variational principle.
One of the most commonly used bounds are based on variational principle according to which the effective parameter is expressed in terms of functional for which the variational (extremum) principle is being formulated.
Supplementary Figure 2 Model comparison analysis based on variational free energy.
The proof is based on variational methods.
The approach is based on variational methods.
