On 12/21/21 8:59 AM, Judy Lee wrote:

Can I make an expression u(x) for 1D analytical solution, that can take *q_index* for evaluating u(@ *q_index*), while skip obtaining *q_index* locations/points value?

What is 'q_index'? It's usually the index (an integer) of a quadrature point on a cell. But u(x) is a function of a spatial variable (a point in the domain). You can't ask for u(q_index). You have to say what that point is where you want to evaluate the function.

If I understand right then all you need is the ability to evaluate the exact solution at the location of a quadrature point. There are many examples of how this is done in the example programs (just search for where a right hand side is evaluated, for example). For evaluating the error u-uh, you can also take a look at step-7.

Best
 WB

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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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