On Mon, 2 Mar 2009, Ondrej Certik wrote: > That's awesome that you are interested in this. At this moment, I am > quite busy with other things, but I am very interested in this > comparison. Does the isotropic hp-adaptivity work in 3d?
It works for any elements we've got hierarchic basis functions available on, but right now that means just hexes in 3D. > <benjamin.kir...@nasa.gov> wrote: >> is that these tend to be more "industrial-type" applications, where >> higher-order elements are often not used for various reasons (non-smooth >> solutions, sharp complex geometry, etc...) > > In fact, hp-fem performs the best exactly with solutions that are both > non-smooth and sharp somewhere (it uses a low polynomial order there) > and very smooth somewhere else in the domain (it uses a high > polynomial order there). Yeah; locally non-smooth solutions should be fine for hp elements. Complex geometry is a little trickier, unless you've got mechanisms for curved element sides (libMesh does, but only quadratics) and proper refinement into exactly specified geometry (libMesh doesn't unless user code adds it). But I think Ben left out the biggest reasons why industrial applications don't get solved with hp: formulation fragility and code complexity. Some numerical formulations work fine at low order and require significant analysis and redesign before achieving optimal convergence (or even converging at all) at high order. Most industrial software is complex, and rearchitecting to get faster and more accurate solves is deemed (rightly or wrongly) less productive than making a GUI nicer. --- Roy ------------------------------------------------------------------------------ Open Source Business Conference (OSBC), March 24-25, 2009, San Francisco, CA -OSBC tackles the biggest issue in open source: Open Sourcing the Enterprise -Strategies to boost innovation and cut costs with open source participation -Receive a $600 discount off the registration fee with the source code: SFAD http://p.sf.net/sfu/XcvMzF8H _______________________________________________ Libmesh-devel mailing list Libmesh-devel@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/libmesh-devel
