full
search.png

Search

close.png

Cancel

arrow
Volume 20, Issue 3
The Discrete Raviart-Thomas Mixed Finite Element Method for the $p$-Laplace Equation

M.M. Guo & D.J. Liu

DOI: 10.4208/ijnam2023-1012

Int. J. Numer. Anal. Mod., 20 (2023), pp. 313-328.

Published online: 2023-03

Preview Purchase PDF 1676 19534

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Adaptive finite element methods, discrete Raviart-Thomas mixed finite element method, $p$-Laplace equation.

  • AMS Subject Headings

65N12, 65N30, 65Y20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-20-313, author = {Guo , M.M. 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 = {http://global-sci.org/intro/article_detail/ijnam/21535.html} }
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 -

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.

Guo , M.M. and Liu , D.J.. (2023). The Discrete Raviart-Thomas Mixed Finite Element Method for the $p$-Laplace Equation. International Journal of Numerical Analysis and Modeling. 20 (3). 313-328. doi:10.4208/ijnam2023-1012
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard