@Article{IJNAM-20-3, author = {M.M., Guo and Liu, D.J.}, title = {The Discrete Raviart-Thomas Mixed Finite Element Method for the $p$-Laplace Equation}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2023}, volume = {20}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/10.4208/ijnam2023-1012}, url = {https://global-sci.com/article/82894/the-discrete-raviart-thomas-mixed-finite-element-method-for-the-p-laplace-equation} }