Laplace Equation and Energy Density Function in Electrostatic Field of Anisotropic Dielectric
The energy density functional with the electric potential as a function is written by the energy density of electrostatic field in anisotropic dielectric.The Laplace equation is the Ostrogradski equation,which is the necessary condition for obtaining the extreme value of the energy destiny function.Laplace equation's corresponding function is constructed by applying the variational principle of symmetric positive definite operator equation,and the concept of energy density is derived from the kernel function,because Laplace equation is an operator equation.By apply-ing the variational principle,the explicit solution to Laplace equation of electrostatic field in anisotropic dielectric is transformed into the corresponding variational problem.
anisotropic dielectricLaplace equationenergy density functionoperator equationvariational prob-lem
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