Abstract
Residual-type a posteriori error estimates in the maximum norm are given for singularly perturbed semilinear reaction-diffusion equations posed in polygonal domains. Linear finite elements are considered on anisotropic triangulations. The error constants are independent of the diameters and the aspect ratios of mesh elements and of the small perturbation parameter.
Original language | English |
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Pages (from-to) | 2519-2544 |
Number of pages | 26 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 53 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2015 |
Keywords
- A posteriori error estimate
- Anisotropic triangulation
- Maximum norm
- Reaction-diffusion
- Singular perturbation