Dirichlet principle
= Dirichlet principle
{c}
{wiki}
Among functions with fixed boundary values, the solution of $\nabla\cdot(\kappa\nabla\phi)=0$ with $\kappa>0$ uniquely minimizes the weighted energy
$$
\int\kappa|\nabla\phi|^2.
$$
= Dirichlet principle
{c}
{wiki}
Among functions with fixed boundary values, the solution of $\nabla\cdot(\kappa\nabla\phi)=0$ with $\kappa>0$ uniquely minimizes the weighted energy
$$
\int\kappa|\nabla\phi|^2.
$$