Name
Title | ||
|---|---|---|
Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media. |
Abstract | ||
|---|---|---|
In this paper, we study the unconditional convergence and error estimates of a Galerkin-mixed FEM with the linearized semi-implicit Euler scheme for the equations of incompressible miscible flow in porous media. We prove that the optimal L-2 error estimates hold without any time-step (convergence) conditions, while all previous works require certain time-step restrictions. Our theoretical results provide a new understanding on commonly used linearized schemes. The proof is based on a splitting of the error into two parts: the error from the time discretization of the PDEs and the error from the finite element discretization of corresponding time-discrete PDEs. The approach used in this paper can be applied to more general nonlinear parabolic systems and many other linearized (semi)-implicit time discretizations. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/120871821 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
unconditional stability,optimal error estimate,Galerkin-mixed FEM,incompressible miscible flow | Convergence (routing),Compressibility,Discretization,Mathematical optimization,Nonlinear system,Mathematical analysis,Galerkin method,Finite element method,Unconditional convergence,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
51 | 4 | 0036-1429 |
Citations | PageRank | References |
35 | 1.67 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Buyang Li | 1 | 170 | 21.10 |
| Weiwei Sun | 2 | 154 | 15.12 |