Abstract | ||
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A singularly perturbed problem with two small parameters is considered. On a Bakhvalov-type mesh we prove uniform convergence of a Galerkin finite element method with piecewise linear functions. Arguments in the error analysis include interpolation error bounds for a Clément quasi-interpolant as well as discretization error estimates in an energy norm. Numerical experiments support theoretical findings. |
Year | DOI | Venue |
---|---|---|
2016 | 10.1016/j.cam.2015.07.011 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
65L11,65L20,65L60,65L70 | Galerkin finite element method,Mathematical optimization,Discretization error,Interpolation error,Mathematical analysis,Uniform convergence,Piecewise linear function,Mathematics | Journal |
Volume | Issue | ISSN |
292 | C | 0377-0427 |
Citations | PageRank | References |
4 | 0.88 | 6 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mirjana Brdar | 1 | 4 | 1.21 |
Helena Zarin | 2 | 36 | 5.25 |