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Describe the method of the finite element for the following problem:
u^(4)(x)=f, xϵ (0,1)
u(0)=u(0)=u(1)=u(1)=0
The solving of the problem must contain the following:
1.the variational formulation of the problem
2.the discreet variational formulation
3.the description of the dimensional finite subspace used
4.estimation of error sau error estimation
5.a numeric example in Matlab
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