On Mon, Jan 11, 2016 at 2:44 PM, Junchao Zhang <junchao.zh...@gmail.com> wrote:
> Hello, > I am learning FEM by reading the Libmesh example adaptivity_ex2.C and > have two questions. > 1) In the code, it says " Print out the H1 norm, for verification > purposes". Why could the H1 norm serve this purpose? I ran the example and > saw a series of H1 norms in output but had no idea on how to interpret > them. > You would verify that the norm of the error ||E|| ~ N^p, where N is the number of degrees of freedom in the problem, and p is a power that depends on the type of finite elements, the smoothness of the true solution, and other factors. To find out what p is, you can compute ||E|| on a sequence of adaptively-refined grids, and then plot log ||E|| vs log(N). The plot should look like a straight line with slope "p", which you would then verify is correct for your problem. -- John ------------------------------------------------------------------------------ Site24x7 APM Insight: Get Deep Visibility into Application Performance APM + Mobile APM + RUM: Monitor 3 App instances at just $35/Month Monitor end-to-end web transactions and take corrective actions now Troubleshoot faster and improve end-user experience. Signup Now! http://pubads.g.doubleclick.net/gampad/clk?id=267308311&iu=/4140 _______________________________________________ Libmesh-users mailing list Libmesh-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/libmesh-users
