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https://open.uns.ac.rs/handle/123456789/20068
Title: | Maximum-norm a posteriori error bounds for a collocation method applied to a singularly perturbed reaction–diffusion problem in three dimensions | Authors: | Radojev Goran Linß Torsten |
Issue Date: | 2019 | Journal: | Numerical Methods for Partial Differential Equations | Abstract: | © 2019 Wiley Periodicals, Inc. 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. | URI: | https://open.uns.ac.rs/handle/123456789/20068 | ISSN: | 0749-159X | DOI: | 10.1002/num.22414 |
Appears in Collections: | PMF Publikacije/Publications |
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