Year: 2023
International Journal of Numerical Analysis and Modeling, Vol. 20 (2023), Iss. 3 : pp. 313–328
Abstract
We consider the discrete Raviart-Thomas mixed finite element method (dRT-MFEM) for the $p$-Laplace equation in the new sense of measurement. The new measurement of $p$-Laplace equation for $2 ≤ p < ∞$ was studied by D. J. Liu (APPL. NUMER. MATH., 152: 323-337, 2020), where the reliable error analysis for conforming and nonconforming FEM were obtained. This paper provide the reliable and efficient error analysis of dRT-MFEM for $p$-Laplace equation $(1 < p < 2).$ The numerical investigation for benchmark problem demonstrates the accuracy and robustness of the proposed dRT-MFEM.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ijnam2023-1012
International Journal of Numerical Analysis and Modeling, Vol. 20 (2023), Iss. 3 : pp. 313–328
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Adaptive finite element methods discrete Raviart-Thomas mixed finite element method $p$-Laplace equation.