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Following that, one begins by deriving a variational principle for temperature discontinuity and then extends it to the case of thermoelectroelastic problems.
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The variational segmentation methods are characterized by deriving an energy functional from some a priori mathematical model and minimizing this energy functional over all possible partitions.
An alternative HMM similarity measure was recently proposed by Hershey and Olsen [33] who derived a variational approximation for the Bhattacharyya divergence between HMMs.
Variational methods for image segmentation have had great success, which are characterized by deriving an energy functional from some a priori mathematical model and minimizing this energy functional over all possible partitions.
By using a suitably rescaled form of time-harmonic Maxwell's equations, we derive a variational formulation that enables a direct numerical treatment of the associated class of boundary value problems by appropriate curl-conforming finite elements.
In the first step, we derive a variational formulation of the mechanical problem.
The stability of the convective modes is studied by using a variational approach and deriving a set of spectral equations by means of a truncated mode interaction.
The governing differential equations are derived through a variational procedure by using a modified total potential energy functional.
The equations describing the dynamics of a generic structure with a time-varying inertia and in a rotating coordinate frame are derived by using a variational principle.
The governing equations for the general functions and the partition coefficient are derived by using a variational approach with the principle of minimum complementary energy.
In this paper the general equations of motion for thick elastic plates with arbitrary shape are derived by using a variational principle.
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