Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6891758 | Computers & Mathematics with Applications | 2018 | 13 Pages |
Abstract
In this paper, we propose a fully discrete stabilized multiphysics finite element method by the pressure projection method to solve the polymer gel model. To reveal the multi-physical process of the polymer gel model, we reformulate the polymer gel model by introducing a new variable to get a new multi-field problem, then we propose the fully discrete stabilized multiphysics finite element method using the simplest equal order element of P1âP1âP1 without the discrete inf-sup condition to solve the new reformulated system, and we prove that the new method not only has no ”locking” phenomenon, but also preserves some energy conservation laws. Also, we prove that the stabilized multiphysics finite element method has optimal convergence order. Finally, we give the numerical example to verify the theoretical results.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Zhihao Ge, Zhen Guan, Yinnian He,