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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 6
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Research Article

Connections between finite difference and finite element approximations

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Pages 1808-1820 | Received 02 Jul 2021, Accepted 07 Nov 2021, Published online: 19 Nov 2021

References

  • Quarteroni A, Sacco R, Saleri F. Numerical mathematics. New York: Springer-Verlag; 2000. (Texts in Applied Mathematics; 37).
  • LeVeque RJ. Finite difference methods for ordinary and partial differential equations. Philadelphia (PA): Society for Industrial and Applied Mathematics (SIAM); 2007.
  • Braess D. Finite elements: theory, fast solvers, and applications in solid mechanics. Cambridge: Cambridge University Press; 1997.
  • Brenner S, Scott LR. The mathematical theory of finite element methods. New York: Springer-Verlag; 1994.
  • Ern A, Guermond J-L. Theory and practice of finite elements. New York: Springer-Verlag; 2004.
  • Oden JT, Demkowicz LF. Applied functional analysis. Boca Raton (FL): CRC Press; 2018. Third edition of [MR1384069].

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