In this paper we provide an expanded mixed finite element method for a class of two-dimensional Sobolev equations. The optimal error estimates for a semi-discrete scheme and a fully discrete scheme are obtained. Also numerical examples are stated to verify our theoretical results.
- Sobolev equation
- Expanded mixed finite element
- Error estimate
- Numerical experiment
Li, N., Lin, P., & Gao, F. (2019). An Expanded Mixed Finite Element Method for Two-dimensional Sobolev Equations. Journal of Computational and Applied Mathematics, 348, 342-355. https://doi.org/10.1016/j.cam.2018.08.041