Petr, Are you referring to http://www.codeproject.com/Articles/579983/Finite-Element-programming-in-Julia ?
Or is this from another blog? Rob J. Goedman goed...@mac.com > On Dec 7, 2014, at 10:21 AM, Petr Krysl <krysl.p...@gmail.com> wrote: > > Hello everybody, > > > > I found Amuthan 's blog a while back, but only about two weeks ago I found > the time to look seriously at Julia. What I found was very encouraging. > > > > For a variety of teaching and research purposes I maintain a Matlab FEA > toolkit called FinEALE. It is about 80,000 lines of code with all the > examples and tutorials. In the past week I rewrote the bits and pieces that > allow me to run a comparison with Amuthan 's code. Here are the results: > > > > For 1000 x 1000 grid (2 million triangles): > > > > Amuthan's code: 29 seconds > > > > J FinEALE: 86 seconds > > > > FinEALE: 810 seconds > > > > Mind you, we are not doing the same thing in these codes. FinEALE and J > FinEALE implement code to solve the heat conduction problem with arbitrarily > anisotropic materials. The calculation of the FE space is also not vectorized > as in Amuthan's code. The code is written to be legible and general: the same > code that calculates the matrices and vectors for a triangle mesh would also > work for quadrilaterals, linear and quadratic, both in the pure 2-D and the > axially symmetric set up, and tetrahedral and hexahedral elements in 3-D. > There is obviously a price to pay for all this generality. > > > > Concerning Amuthan 's comparison with the two compiled FEA codes: it really > depends how the problem is set up for those codes. I believe that Fenics has > a form compiler which can spit out an optimized code that in this case would > be entirely equivalent to the simplified calculation (isotropic material with > conductivity equal to 1.0), and linear triangles. I'm not sure about > freefem++, but since it has a domain-specific language, it can also > presumably optimize its operations. So in my opinion it is rather impressive > that Amuthan 's code in Julia can do so well. > > > > Petr >
