Name
Abstract | ||
|---|---|---|
A new superconvergence result is established for numerical solutions of elliptic problems obtained from the mixed finite element method of Raviart--Thomas over rectangular partitions. The well-known optimal order error estimate in L2-norm for the flux approximation is of order ${\cal O}(h^{k+1})$, where $k\ge 0$ is the order of polynomials employed in the Raviart--Thomas element. The new superconvergence shows an improved accuracy of order ${\cal O}(h^{k+3})$ between the mixed finite element approximation and an appropriately defined local projection of the flux variable when k0. A postprocessing technique using local projection methods is proposed and analyzed in order to provide a new approximate solution with the superconvergent order ${\cal O}(h^{k+3})$. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1137/S0036142901391141 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
flux approximation,mixed finite element method,mixed finite element approximation,superconvergent order,new superconvergence,new superconvergence result,thomas element,new approximate solution,mixed finite element approximations,cal o,well-known optimal order error,superconvergence | Convergence (routing),Mathematical optimization,Polynomial,Mathematical analysis,Superconvergence,Finite element method,Numerical analysis,Partial differential equation,Mathematics,Elliptic curve,Mixed finite element method | Journal |
Volume | Issue | ISSN |
40 | 6 | 0036-1429 |
Citations | PageRank | References |
1 | 0.37 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Richard E. Ewing | 1 | 252 | 45.87 |
| Mingjun Liu | 2 | 1 | 0.71 |
| Junping Wang | 3 | 1 | 0.37 |