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Maximum‐norm a posteriori error bounds for a collocation method applied to a singularly perturbed reaction–diffusion problem in three dimensions |
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| Authors: | Goran Radojev,Torsten Linß |
| Abstract: | Collocation with triquadratic C1‐splines for a singularly perturbed reaction–diffusion problem in three dimension is studied. A posteriori error bound in the maximum norm is derived for the collocation method on arbitrary tensor‐product meshes which is robust in the perturbation parameter. Numerical results are presented that support our theoretical estimate. |
| Keywords: | a posteriori error bound collocation method Green's function maximum norm reaction– diffusion problems singular perturbation |