Approximation of partial differential equations : DF scheme construction for 2nd-order (elliptic) operators

DF scheme construction for 2nd-order (elliptic) operators
Approximation of partial differential equations

Author : Guy CHAVENT

Publication date: August 10, 1993 | Lire en français

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3. DF scheme construction for 2nd-order (elliptic) operators

In this paragraph, we will develop a finite-difference approximation for the problem :

\begin{array}{l} trouver la fonction u : Ω \to ℝ telle que \\ - \nabla \cdot (a \nabla u) = f \end{array}

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Ongoing reading
DF scheme construction for 2nd-order (elliptic) operators

(1) - BRENIER (Y.), HENNART (J.-P.) - Introduction to numerical hyperbolic equations. - Cours IIMAS-UNAM. Mexico DF, Mexique (1983).
(2) - CIARLET (P.G.) - Introduction à l'analyse numérique matricielle et à l'optimisation. - Masson (1982).

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