L1,L2, .. L_infinity Errors ??
Can you tell me how can calculate the L1,L2 .. Errors, I used a Roe solver with triangular mesh.
Thanks in advance.
You have to (numerically) integrate over all elements in the mesh and sum up the computed contributions from each element, e.g. $\sum_T \int_T (u-u_h)^2 dx$ for the L^2 error. What you do on each element of the mesh is iterating over integration points. At each integration point you have to evaluate shape functions, compute u_h using the coefficients from your solution vector, evaluate (u-u_h)^2, add this to err with the proper weight and integration element and so on and so forth... This is standard and should be described in all books used for teaching.
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