Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Dirichlet's energy is a numerical measure of how variable a function is. More abstractly, it is a quadratic functional on the Sobolev space H1. The Dirichlet energy is intimately connected to Laplace's equation and is named after the German mathematician Lejeune Dirichlet.Such a solution is called a harmonic function and such solutions are the topic of study in potential theory.

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