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Article | REF: AF503 V1

Variational approach for the finite element method

Author: Pierre SPITERI

Publication date: July 10, 2002, Review date: March 25, 2022

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6. Conclusion

In this article, we have transformed various classes of PDE problems, associated with various partial differential operators and classical boundary conditions, into an equivalent problem. This operation corresponds to putting the PDE problem into variational form and is formulated as follows:

{déterminer u∈E tel que :a(u, v)=L(v),

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