Two-grid mixed finite element method combined with the BDF2- θ for a two-dimensional nonlinear fractional pseudo-hyperbolic wave equation
Year: 2024
Type: article
Abstract: In this article, a fast two-grid mixed finite element (T-GMFE) algorithm based on a time second-order discrete scheme with parameter θ is considered to numerically solve a class of two-dimensional nonlinear fractional pseudo-hyperbolic wave models. The weighted and shifted Grünwald difference (WSGD) formula is used to approximate the fractional time derivative at time t n − θ , and the spatial direction is approximated by a two-grid H 1 -Galerkin MFE method. The error estimates in both L 2 and H 1 -norm for the fully discrete T-GMFE system are proved. Further, a modified T-GMFE scheme is proposed and the optimal error results are provided. Finally, computing results show the presented T-GMFE method can save computing time and improve the computational efficiency.
Source: Results in Applied Mathematics
Authors: Yan Wang, Yining Yang, Nian Wang, Hong Li, Yang Liu
Institution: Inner Mongolia University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,490
OpenAlex ID: W4405745076