Error Analysis of Mixed Finite Element Methods for Nonlinear Parabolic Equations
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1660-1678 |
| Journal / Publication | Journal of Scientific Computing |
| Volume | 77 |
| Issue number | 3 |
| Online published | 23 Jan 2018 |
| Publication status | Published - Dec 2018 |
Link(s)
Abstract
In this paper, we prove a discrete embedding inequality for the Raviart–Thomas mixed finite element methods for second order elliptic equations, which is analogous to the Sobolev embedding inequality in the continuous setting. Then, by using the proved discrete embedding inequality, we provide an optimal error estimate for linearized mixed finite element methods for nonlinear parabolic equations. Several numerical examples are provided to confirm the theoretical analysis.
Research Area(s)
- Discrete Sobolev embedding inequality, Finite element method, Nonlinear parabolic equations, Optimal error analysis, Unconditional convergence
Citation Format(s)
Error Analysis of Mixed Finite Element Methods for Nonlinear Parabolic Equations. / Gao, Huadong; Qiu, Weifeng.
In: Journal of Scientific Computing, Vol. 77, No. 3, 12.2018, p. 1660-1678.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
