The finite element method in the family of improperly posed problems

Author:
Hou De Han

Journal:
Math. Comp. **38** (1982), 55-65

MSC:
Primary 65M60; Secondary 35R25, 65M30

MathSciNet review:
637286

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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.

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1982-0637286-1

Article copyright:
© Copyright 1982
American Mathematical Society