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4 votes

Finite difference problem

Since this is apparently a homework problem, let's just illustrate the idea on a small simple example. Let's take the domain [0,1], with the discontinuity at $x=0.5$, and assume $\alpha$=1 to the left ...
Maxim Umansky's user avatar
1 vote

Discontinuous Galerkin for transport equation with non-constant advection

If the exact solution of the transport problem is not smooth, the numerical solutions using the continuous finite element method may exhibit spurious oscillations around the discontinuity. As you said,...
Kenneth Assogba's user avatar

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