Robust Estimates in Balanced Norms for Singularly Perturbed Reaction Diffusion Equations Using Graded Meshes-Reference-Cited by-同舟云学术

Robust Estimates in Balanced Norms for Singularly Perturbed Reaction Diffusion Equations Using Graded Meshes

Published:2023-05-25 Issue:1 Volume:96 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Armentano María Gabriela,Lombardi Ariel L.^ORCID,Penessi Cecilia

Funder

Agencia Nacional de Promoción de la Investigación, el Desarrollo Tecnológico y la Innovación

Universidad de Buenos Aires

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10915-023-02245-y.pdf

Reference23 articles.

1. Adler, J., MacLachlan, S., Madden, N.: A first-order system Petrov–Galerkin discretization for a reaction-diffusion problem on a fitted mesh. IMA J. Numer. Anal. 36(3), 1281–1309 (2016)

2. Adler, J., MacLachlan, S., Madden, N.: First-order system least squares finite-elements for singularly perturbed reaction-diffusion equations. Large-Scale Sci. Comput. 11958, 3–14 (2020)

3. Apel, T.: Anisotropic finite elements: Local estimates and applications. Leipzig: Teubner; Chemnitz: Technische Univ. (1999)

4. Durán, R.G., Lombardi, A.L.: Error estimates on anisotropic $${\cal{Q} }_1$$ elements for functions in weighted Sobolev spaces. Math. Comput. 74(252), 1679–1706 (2005). https://doi.org/10.1090/S0025-5718-05-01732-1

5. Durán, R.G., Lombardi, A.L., Prieto, M.I.: Superconvergence for finite element approximation of a convection-diffusion equation using graded meshes. IMA J. Numer. Anal. 32(2), 511–533 (2012). https://doi.org/10.1093/imanum/drr005