TY - JOUR
T1 - The Discrete Raviart-Thomas Mixed Finite Element Method for the $p$-Laplace Equation
AU - Guo , M.M.
AU - Liu , D.J.
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 313
EP - 328
PY - 2023
DA - 2023/03
SN - 20
DO - http://doi.org/10.4208/ijnam2023-1012
UR - https://global-sci.org/intro/article_detail/ijnam/21535.html
KW - Adaptive finite element methods, discrete Raviart-Thomas mixed finite element method, $p$-Laplace equation.
AB - <p style="text-align: justify;">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 $2 ≤ p &lt; ∞$ 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 $(1 &lt; p &lt; 2).$ The numerical investigation for benchmark problem demonstrates the accuracy and
robustness of the proposed dRT-MFEM.</p>