Thank you for your suggestions, Alan. For the GSoC, I will try implementing all the functionality for 3D as the vector package now only supports 3D. I will define a class for the tetrahedron.
Unfortunately, I am not very familiar with BEM equations but I am looking into them. Thanks Faisal Riyaz On Mon, Mar 30, 2020 at 8:17 PM Alan Bromborsky <abrombo...@gmail.com> wrote: > I would suggest calculating for a geometric simplex > > https://en.wikipedia.org/wiki/Simplex > > since simplexes are the building blocks for finite element method > calculations. I think one of the main applications of your package could > be for calculating the boundary element method equations for various > problems. > > On 3/30/20 12:54 AM, Faisal Riyaz wrote: > > I am looking at the Maple functionalities for vector Integration. I think > Maple has the best functionality for vector integration among other CAS. > > https://www.maplesoft.com/support/help/Maple/view.aspx?path=Student%2FVectorCalculus%2FSurfaceInt > > https://www.maplesoft.com/support/help/Maple/view.aspx?path=Student%2fVectorCalculus%2fint > They have many different classes for commonly used surfaces and curves. > Some of them are > Circle > Ellipse > Sphere > Sector > Box > Triangle > > > For integration over Surface, I suppose I have to calculate the unit > normal vector. Parametrix representation of the surface needs to be > determined. And represent the differential area in terms of parameters. > This differential element will be associated with every surface. Then > represent the given vector/scalar field in terms of parameters of the > surface. Then the required integration can be easily performed. Also, the > direction of normal vector needs to be determined. > > Similarly, for integration over curves, we have to calculate the > differential line element. Represent the line element and scalar/vector > field in terms of parameters. > > Finding a parametric representation of well-known surfaces is easy but it > can be difficult for some surfaces. > > I am going in the right direction. Please suggest. Also, who will be the > potential mentor for this project? > > Thanks > Faisal > > > On Mon, Mar 30, 2020 at 7:33 AM Aaron Meurer <asmeu...@gmail.com> wrote: > >> Discussing the implementation would be more important. You don't need >> to have actual code (other than possibly pseudocode). The API you >> suggested would probably end up being something different, but the >> implementation would be the same regardless of the API. >> >> Aaron Meurer >> >> On Sun, Mar 29, 2020 at 7:23 PM Faisal Riyaz <faisalriyaz...@gmail.com> >> wrote: >> > >> > Hello All, >> > >> > Any suggestions? I will add functions for relating line integral and >> surface integral (Stoke's Theorem and Green's Theorem). I do not still know >> how difficult will it be. Also, In my proposal, I have tried to provide the >> API of the functions. Is it enough or should I also give a rough >> implementation? Feel free to comment here or the google docs. >> > >> > Thanks >> > Faisal Riyaz >> > >> > -- >> > You received this message because you are subscribed to the Google >> Groups "sympy" group. >> > To unsubscribe from this group and stop receiving emails from it, send >> an email to sympy+unsubscr...@googlegroups.com. >> > To view this discussion on the web visit >> https://groups.google.com/d/msgid/sympy/CAEe-xqQBKZooor5eiQ5CPbkctoVFTHD5xxLFVnDtxFm9Ye2D6A%40mail.gmail.com >> . >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sympy" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to sympy+unsubscr...@googlegroups.com. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/sympy/CAKgW%3D6JiOwjMEb8QxdiVHZFOUZD8Z_VKGSGAvFABiHL9DSFV4w%40mail.gmail.com >> . >> > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/CAEe-xqTDdfp9sY_2XiM2tEqM44sjsWrhPmRvrZ_gzipz7gP05w%40mail.gmail.com > <https://groups.google.com/d/msgid/sympy/CAEe-xqTDdfp9sY_2XiM2tEqM44sjsWrhPmRvrZ_gzipz7gP05w%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/a5e8494a-8514-6f4f-8b6e-58d32b0029d8%40gmail.com > <https://groups.google.com/d/msgid/sympy/a5e8494a-8514-6f4f-8b6e-58d32b0029d8%40gmail.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "sympy" group. 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