Finite Element Methods
From Part I we know that standard Galerkin finite element methods on equidistant meshes yield inaccurate approximate solutions of singularly perturbed two-point boundary value problems unless a large number of mesh points are used. The same disappointing behaviour occurs arises when dealing with parabolic convection-diffusion problems, because such methods have no built-in upwinding. Finite element methods will now be developed specifically for the convection-diffusion situation, either by choosing special basis functions or by working on meshes designed for these problems.
KeywordsFinite Element Method Trial Function Discontinuous Galerkin Method Compute Solution Local Error Estimate
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