Hi guys,

This is a question more on understanding rather than code. I am wondering about the mathematical significance of the choice of function spaces over with our function to solve, u and our test function, v, are defined.

For example, if I chose my problem to be spanned by a function space defined by first order Lagrange Polynomials, compared to using a Crouzeix-Raviart system, for example: would this significantly change my outcome, or these basis functions chosen such that they are easier to compute?

Thanks again