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. We discuss the difficulties which arise for systems of reaction-diffusion problems.
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Roos, HG. Remarks on Balanced Norm Error Estimates for Systems of Reaction-Diffusion Equations. Appl Math 63, 273–279 (2018). https://doi.org/10.21136/AM.2018.0063-18
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DOI: https://doi.org/10.21136/AM.2018.0063-18