Name
Title | ||
|---|---|---|
A finite element analysis of a coupled system of singularly perturbed reaction–diffusion equations |
Abstract | ||
|---|---|---|
We consider a system of two coupled reaction–diffusion equations. When the parameters multiplying the second-order derivatives in the equations are small, their solutions exhibit boundary layers. Moreover, when the parameters are of different magnitudes, two distinct but overlapping boundary layers are present. We study a finite element discretization on general layer-adapted meshes including the frequently studied Shishkin mesh and the Bakhvalov mesh. Supporting numerical results are presented. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1016/S0096-3003(02)00955-4 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Reaction–diffusion,Singular perturbation,Solution decomposition,Shishkin mesh | Discretization,Polygon mesh,Mathematical analysis,Finite element method,Boundary layer,Singular perturbation,Numerical analysis,Reaction–diffusion system,Mathematics,Diffusion equation | Journal |
Volume | Issue | ISSN |
148 | 3 | Applied Mathematics and Computation |
Citations | PageRank | References |
10 | 3.17 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Torsten Linß | 1 | 68 | 14.77 |
| Niall Madden | 2 | 29 | 7.41 |