Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem-Reference-Cited by-同舟云学术

Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem

Published:2023-07-13 Issue: Volume: Page:
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Meng Xiangyun^ORCID,Stynes Martin^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s11075-023-01603-z.pdf

Reference15 articles.

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3. Cai, Zhiqiang, JaEun, Ku.: A dual finite element method for a singularly perturbed reaction-diffusion problem. SIAM J. Numer. Anal. 58(3), 1654–1673 (2020)

4. Dolejší, Vit, Roos, Hans-Görg.: BDF-FEM for parabolic singularly perturbed problems with exponential layers on layers-adapted meshes in space. Neural Parallel Sci. Comput. 18(2), 221–235 (2010)

5. Dolejší, Vít., Vlasák, Miloslav: Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems. Numer. Math. 110(4), 405–447 (2008)

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