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Line 22: ==Finite element method== The finite element method was designed to deal with problem with complicated computational regions. The PDE is first recast into a variational form which essentially forces the mean error to be small everywhere. The discretization step proceeds by dividing the computational ___domain into elements of triangular or rectangular shape. The solution within each element is interpolated with a polynomial of usually low order. Again, the unknowns are the solution at the collocation points. The CFD community adopted the FEM in the ~~1980’s~~1980s when reliable methods for dealing with advection dominated problems were devised. ==Spectral method==

Numerical methods in fluid mechanics: Difference between revisions