Optimal error estimates of an $$H^1$$-Galerkin mixed finite element method for nonlinear Kirchhoff-type problem-Reference-Cited by-同舟云学术

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Optimal error estimates of an $$H^1$$-Galerkin mixed finite element method for nonlinear Kirchhoff-type problem

Published:2024-01-18 Issue:1 Volume:43 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Wu Yanmi,Shi Dongyang

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s40314-023-02549-7.pdf

Reference26 articles.

1. Arosio A, Panizzi S (1996) On the well-posedness of the Kirchhoff string. Trans Am Math Soc 348:305–330

2. Che HT, Zhou ZJ, Jiang ZW, Wang YJ (2013) $$H^1$$-Galerkin expanded mixed finite element methods for nonlinear pseudo-parabolic integro-differential equations. Numer Methods Partial Differ Equ 29:799–817

3. Chen H, Wang H (2010) An optimal-order error estimate on an $$H^1$$-Galerkin for a nonlinear parabolic equation in porous mediumow. Numer Methods Partial Differ Equ 26:188–205

4. Chueshov I (2012) Long-time dynamics of Kirchhoff wave models with strong nonlinear damping. J Differ Equ 252:1229–1262

5. Dond AK, Pani AK (2017) A priori and A posteriori estimates of conforming and mixed FEM for a Kirchhoff equation of elliptic type. Comput Methods Appl Mech 17:217–236

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