Title | ||
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Uniform error estimates for triangular finite element solutions of advection-diffusion equations |
Abstract | ||
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In this paper, the authors use the integral identities of triangular linear elements to prove a uniform optimal-order error estimate for the triangular element solution of two-dimensional time-dependent advection-diffusion equations. Also the authors introduce an interpolation postprocessing operator to get the superconvergence estimate under the 驴 weighted energy norm. The estimates above depend only on the initial and right data but not on the scaling parameter 驴. |
Year | DOI | Venue |
---|---|---|
2013 | 10.1007/s10444-011-9228-x | Adv. Comput. Math. |
Keywords | DocType | Volume |
Triangular linear elements,Integral identities,Uniform error estimates,Fully discrete Galerkin method,Interpolation postprocessing operator,65M12,65M60,76M10 | Journal | 38 |
Issue | ISSN | Citations |
1 | 1019-7168 | 1 |
PageRank | References | Authors |
0.39 | 4 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hongtao Chen | 1 | 4 | 1.46 |
Qun Lin | 2 | 78 | 14.23 |
Junming Zhou | 3 | 29 | 1.65 |
Hong Wang | 4 | 373 | 44.74 |