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Standard Benchmark Problem for Computational Solution of Poisson Equation

  1. Dec 15, 2011 #1

    I am working on FEM methods as a part of my senior year project and I have written a poisson solver for the same purpose. The solver works pretty well on the simple problems that I have designed as of now and seems to give correct answer (i.e. the data matches the theoretical prediction)
    1. Parallel Plate Capacitor
    2. Potential inside and outside a hollow sphere of charge
    3. Parallel Plate Capacitor with rough surfaces (In this case, I have obtained a good co-relation between the calculations in my advisors pulblished paper and my paper.)

    However, I have not yet designed any real life problem as of now. So before I design it, I would like to ask if there is any such gold standard for such a thing (a standard problem which is complex enough to demand good convergence requirements from the solver but not so complex as the solution to be contentious) and is there a place where I can get data so that I can verify my own results by running actual error calculations and such stuff rather than just checking the shapes of the graphs.

    P.S. My solver is a 3D solver so I would like to have a 3D problem for the same.
    Last edited: Dec 15, 2011
  2. jcsd
  3. Dec 16, 2011 #2


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    Science Advisor
    Gold Member

    What about a calculable capacitor?
    They are often used in precision metrology and are extremely well characterized.
    You should be able to find data for one if you do a search using Google Scholar.
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