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FEM with discontinuity

  1. Jun 16, 2012 #1
    1. The problem statement, all variables and given/known data

    Use FEM to solve this problem. The difficulty lies in the fact that the exact solution has a discontinuity in it. From x=[0,0.6) the exact solution u is x5/20 - x/20 and from x =(0.6,1] u is sin(x). The problem I'm having is I'm not sure what to do at the jump in my code. I have already set up my matrices Au = f, and it solves it fine given no discontinuity.

    uxx = f

    2. Relevant equations

    u(0) = u0
    u(1) = u1
     
  2. jcsd
  3. Jun 16, 2012 #2

    Ray Vickson

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    What is FEM?

    RGV
     
  4. Jun 16, 2012 #3
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