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math-ph2021★ 17 cited
Helmholtz decomposition and potential functions for n-dimensional analytic vector fields
Erhard Glötzl, Oliver Richters
The Helmholtz decomposition splits a sufficiently smooth vector field into a gradient field and a divergence-free rotation field. Existing decomposition methods impose constraints…
math-ph2020★ 1 cited
Helmholtz Decomposition and Rotation Potentials in n-dimensional Cartesian Coordinates
Erhard Glötzl, Oliver Richters
This paper introduces a novel method to extend the Helmholtz Decomposition to n-dimensional sufficiently smooth and fast decaying vector fields. The rotation is described by a supe…