Comment Discontinuous Galerkin Methods (Score 2, Interesting) 260
I'm currently getting my PhD in that area, and I'd recommend looking into Discontinuous Galerkin methods. Those are higher-order finite-element methods, and they work very well for hyperbolic problems. I can whole-heartedly recommend a book by my advisor: Nodal DG Methods (it comes out next month).
DG Methods take a little time to implement, but their accuracy and speed is well worth the effort. If you'd like some precooked software, check out http://git.tiker.net/?p=hedge.git;a=summary. (but be aware that there's little to no documentation just yet--don't be afraid to ask, though)
DG Methods take a little time to implement, but their accuracy and speed is well worth the effort. If you'd like some precooked software, check out http://git.tiker.net/?p=hedge.git;a=summary. (but be aware that there's little to no documentation just yet--don't be afraid to ask, though)
