Let be a real-valued harmonic function on a bounded domain , then the Dirichlet energy is defined as , where is the gradient.
Dirichlet Energy
See also
EnergyExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Dirichlet Energy." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DirichletEnergy.html