Finite element method: Difference between revisions

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m more minimal set of test function fix
m discretization step fixage
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=== First discretization step ===
 
In order to turn this process into an algorithm that can be run on actual hardware, one chooses a finite subset of E. Now we have F=F<sub>''n''</sub>={e1e<sub>1</sub>,e2e<sub>2</sub>,...,ene<sub>n</sub>} a finite set, F a subset of E, and we wish to solve the problem
 
(**) &psi;(''u<sub>n</sub>'',''e<sub>j</sub>'')=&int;<sub>T</sub>''g' ','&middot;''e'<sub>j</sub>'') for every ''e<sub>j</sub>'' in F<sub>''n''</sub>
 
with the goal that, as ''n'' increases to infinity (and F<sub>''n''</sub> increases to E), the solutions ''u<sub>n</sub>'' should converge to the solution ''u'' of (*)