The finite element method in the family of improperly posed problems

Han, Hou De

doi:10.1090/S0025-5718-1982-0637286-1

The finite element method in the family of improperly posed problems
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Math. Comp. 38 (1982), 55-65 Request permission

Abstract:

The numerical solution of the Cauchy problem for elliptic equations is considered. We reformulate the original problem as a variational inequality problem, which we solve using the finite element method. Moreover, we prove the convergence of the approximate solution.

References

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