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A Finite Element Method for Singularly Perturbed Reaction-diffusion Problems

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Abstract

A finite element method is proposed for the singularly perturbed reaction-diffusion problem. An optimal error bound is derived, independent of the perturbation parameter.

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Authors and Affiliations

  1. Academy of Mathematics and System Sciences, Beijing, 100080, China

    Huo-yuan Duan

  2. Department of Mathematics, University of Utah, Salt Lake City, UT84112-0090, USA

    Da-Li Zhang

Authors
  1. Huo-yuan Duan
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  2. Da-Li Zhang
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Duan, Hy., Zhang, DL. A Finite Element Method for Singularly Perturbed Reaction-diffusion Problems. Acta Mathematicae Applicatae Sinica, English Series 19, 25–30 (2003). https://doi.org/10.1007/s10255-003-0077-3

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  • DOI: https://doi.org/10.1007/s10255-003-0077-3

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