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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.

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Finite element method for odd order DE

What are theoretical hurdles in applying Galerikin method on, say, first order time dependent ODE? Is there no way we can form an inner product??
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Looking for reference on Streamline Upwind Petrov Galerkin finite elements for incompressibl...

See http://www.ccpo.odu.edu/~tejada/USACM07/BrooksHughes.pdf This is where the technique was first used for convection dominated flows.
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