Error Estimates in Balanced Norms of Finite Element Methods on Shishkin Meshes for Reaction-Diffusion Problems
https://doi.org/10.18255/1818-1015-2016-3-357-363
Abstract
Error estimates of finite element methods for reaction-diffusion problems are often realized in the related energy norm. In the singularly perturbed case, however, this norm is not adequate. A different scaling of the H1 seminorm leads to a balanced norm which reflects the layer behavior correctly.
About the Author
R. Hans-G.
Institut fuЁr Numerische Mathematik, Technische UniversitaЁt Dresden, 01062 Dresden, Deutschland
Russian Federation
Russian Federation
References
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Review
For citations:
Hans-G. R. Error Estimates in Balanced Norms of Finite Element Methods on Shishkin Meshes for Reaction-Diffusion Problems. Modeling and Analysis of Information Systems. 2016;23(3):357-363. (In Russ.) https://doi.org/10.18255/1818-1015-2016-3-357-363
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