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Results tagged with finite-element
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user 45627
A means of solving ordinary and partial differential equations. The domain of the problem is broken up into elements, and the solution in each element is expanded in a basis of functions. The Finite Element Method lends itself well to adaptive refinement, irregular geometry, and good error estimates.
4
votes
Energy conservation in the solution of the Helmholtz equation
Mathematically, you have the Diriclet energy:
$$
E = \int (-|\nabla\psi|^2+k^2|\psi|^2-f\psi^*-f^*\psi)d^Dx
$$
whose minimisation gives you the Helmholtz equation. The natural energy current would be: …
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