exact solution

shawn

hi

i'm just a beginner in this cfd line as i am starting to do my research on building ventilation. i havne't got much experience on computational maths since i did pure maths for my degree. and now i'm learning from scratch.

my question might be basic and easy but i need to clarify this. say that i am using matlab to do my programming using finite element method. my question is how do i verify that the program is working.

and say i'm solving a system of pde problem (i.e: 2 laplace equations), and want to verify the program by comparing my finite element method results and the exact solution results. how can i quickly get the exact solution for the system? or do i have to solve it by hand? is there any easy way for me to refer and look for exact solutions?

Thanks for your time.