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| Assignment 3: |
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PART A
- Work out the details of why the form used in [Example 2.7, Johnson]
satisfies all the properties (i)-(iv) listed on p.50.
- Implement the proper computation of L2 norm and
H1 norm in 1D using quadratures. Test that you are getting
the correct order of convergence using linear elements
on Pbm 1 from Assignment 1.
PART B
- Implement the use of quadratic FE in fem1d.m and test the convergence orders
in L2 norm and H1.
- Test when u(x)=sin(pi*x). Compare with the use of linear FE (Pbm 1).
- Test when u(x) is as in Assignment 1, Pbm 3a. Compare with the use of linear FE.
- Implement FE solution of Pbm 4 from Assignment 1. Assume
the same exact solution as in Pbm 1 from Assignment 1. Check the
convergence order in L2 norm and H1.
- Work out details why the function in [Example 3.5, Braess] has a
finite Dirichlet integral.
- Solve [Pbm 2.1, Johnson].
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