most recent 30 from http://mathoverflow.net 2013-06-19T13:49:00Z http://mathoverflow.net/feeds/question/63377 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/63377/approximations-of-negative-sobolev-norms Nilima Nigam 2011-04-29T03:59:58Z 2011-04-29T03:59:58Z

<p>Consider the standard Cahn-Hilliard free energy, augmented by a nonlocal interaction term which measures the $H^{-1}$ norm of a zero-mean function. Could someone point me to a reference where this nonlocal term is numerically approximated for a function on a compact domain, but without assuming periodicity? The periodic case is handled, for example, in a paper by Choksi et al in SIAM J. Appl.Math., 2009. Specifically, any strategies which avoid a Poisson solve would be welcome.</p>