You're talking about a norm for quantifying solution accuracy, not an estimator for use in AMR, correct?
This gets complicated by the mixed nature of the stabilized approximation (1st order at the shock), but C.Roy et al had a good paper looking at these issues http://www.dept.aoe.vt.edu/~cjroy/Journal-Articles/jceap.verification.pdf One idea could be to use Roy S.'s subdomain approach equipped with a shock sensor - look at the convergence in the entire domain, and also in the "smooth" regions (Omega where the shock sensor is not active.) On Dec 4, 2013, at 2:38 PM, Manav Bhatia <bhatiama...@gmail.com> wrote: > Hi, > > I am writing to seek advice on type of error norm to be used for > refinement studies. > > My application is compressible Euler flow, so shock will appear in > the computational domain. Is the L2 norm of density variable, compared with > a reference solution (obtained on a very fine mesh), better or worse than > an H1-seminorm on density? Should some other type of norm be considered? > How about Kelly's error estimator? > > Any comments from those with experience would be greatly appreciated. > > Thanks, > Manav > ------------------------------------------------------------------------------ > Sponsored by Intel(R) XDK > Develop, test and display web and hybrid apps with a single code base. > Download it for free now! > http://pubads.g.doubleclick.net/gampad/clk?id=111408631&iu=/4140/ostg.clktrk > _______________________________________________ > Libmesh-users mailing list > Libmesh-users@lists.sourceforge.net > https://lists.sourceforge.net/lists/listinfo/libmesh-users ------------------------------------------------------------------------------ Sponsored by Intel(R) XDK Develop, test and display web and hybrid apps with a single code base. Download it for free now! http://pubads.g.doubleclick.net/gampad/clk?id=111408631&iu=/4140/ostg.clktrk _______________________________________________ Libmesh-users mailing list Libmesh-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/libmesh-users
