We propose fully discrete schemes to approximate the harmonic map heat flow and wave maps into spheres. The finite-element based schemes preserve a unit length constraint at the nodes by means of ...

Let B₁ be the unit open disk in ℝ² and M a closed Riemannian manifold. In this note, we first prove the uniqueness for weak solutions of the harmonic map heat flow in H¹([0,T] × B₁, M) whose energy is ...

Harmonic is one of the most important concepts on the power system that cannot be neglected since it can affect the power quality and operation of equipment. High levels of Harmonics in the system may ...

Troubleshooting harmonic problems can be like trying to find a needle in a haystack. Every individual load on every branch circuit is a potential harmonic source. However, you can significantly reduce ...