Name
Title | ||
|---|---|---|
A Robust Adaptive Grid Method for a System of Two Singularly Perturbed Convection-Diffusion Equations with Weak Coupling |
Abstract | ||
|---|---|---|
system of singularly perturbed convection-diffusion equations with weak coupling is considered. The system is first discretized by an upwind finite difference scheme for which an a posteriori error estimate in the maximum norm is constructed. Then the a posteriori error bound is used to design an adaptive gird algorithm. Finally, a first-order rate of convergence, independent of the perturbation parameters, is established by using the theory of the discrete Green's function. Numerical results are presented to illustrate support our theoretical results. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/s10915-013-9814-9 | Journal of Scientific Computing |
Keywords | Field | DocType |
adaptive method,convection-diffusion,65l10,a posteriori error estimate,65l50,weak coupling,65l12 | Convection–diffusion equation,Discretization,Mathematical optimization,Coupling,Finite difference scheme,Mathematical analysis,Grid method multiplication,A priori and a posteriori,Rate of convergence,Perturbation (astronomy),Mathematics | Journal |
Volume | Issue | ISSN |
61 | 1 | 1573-7691 |
Citations | PageRank | References |
4 | 0.51 | 12 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Li-Bin Liu | 1 | 4 | 0.51 |
| tang | 2 | 6 | 3.27 |