Name
Title | ||
|---|---|---|
Asymptotic expansions and Richardson extrapolation of approximate solutions for integro-differential equations by mixed finite element methods |
Abstract | ||
|---|---|---|
In this paper asymptotic error expansions for mixed finite element approximations of the integro-differential equation are
derived, and Richardson extrapolation is applied to improve the accuracy of the approximations by two different schemes with
the help of an interpolation post-processing technique. The results of this paper provide new asymptotic expansions. As a
by-product, we illustrate that all the approximations of higher accuracy can be used to form a class of a-posteriori error
estimators for this mixed finite element method. Finally, a numerical example is provided to validate the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s10444-007-9052-5 | Adv. Comput. Math. |
Keywords | Field | DocType |
Integro-differential equations,Mixed finite element methods,Asymptotic expansions,Interpolation post-processing,A-posteriori error estimators,76S05,45K05,65M12,65M60,65R20 | Differential equation,Mathematical optimization,Richardson extrapolation,Mathematical analysis,Asymptotic analysis,Extended finite element method,Finite element method,hp-FEM,Mathematics,Mixed finite element method,Method of matched asymptotic expansions | Journal |
Volume | Issue | ISSN |
29 | 4 | 1019-7168 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shanghui Jia | 1 | 12 | 2.26 |
| Deli Li | 2 | 0 | 0.34 |
| Shuhua Zhang | 3 | 38 | 9.06 |