Variational approach for the finite element method : Extension to two-dimensional PDE problems

Extension to two-dimensional PDE problems
Variational approach for the finite element method

Author : Pierre SPITERI

Review date: March 25, 2022 | Lire en français

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5. Extension to two-dimensional PDE problems

Let m be a natural number, defining the space dimension of the partial differential equation problem under consideration. Consider the situation where $Ω \subset ℝ^{m}$ (in practice $m = 2$ or $m = 3$ ); generally speaking, note $\partial Ω$ the boundary of

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Extension to two-dimensional PDE problems

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page Variational formulation for various one-dimensional PDEs

Conclusion

References

(1) - DAUTRAY (R.), LIONS (J.L.) - Analyse mathématique et calcul numérique pour les sciences et les techniques. - Tome 1 à tome 9, Masson (1988).
(2) - BREZIS (H.) - Analyse fonctionnelle. - Collection Mathématiques Appliquées, Masson (1982).
(3) - RAVIART...

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Extension to two-dimensional PDE problems Variational approach for the finite element method

5. Extension to two-dimensional PDE problems

References

Extension to two-dimensional PDE problems
Variational approach for the finite element method