Advertisement

Patches of Finite Elements for Singularly-Perturbed Diffusion Reaction Equations with Discontinuous Coefficients

  • Massimiliano CulpoEmail author
  • Carlo de Falco
  • Eugene O’Riordan
Chapter
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 15)

Summary

We present a numerical method for solving Diffusion Reaction equations on two completely overlapping unstructured meshes which reduces the requirements on mesh generation software when strong local refinement is needed to capture features of the solution that appear on different scales.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    de Falco, C., O’Riordan, E.: Dublin City University preprint 2008, MS-08-04.Google Scholar
  2. 2.
    Farrell, P.A., Hegarty, A.F., Miller, J.J.H., O’Riordan, E., Shishkin, G.I.: Robust Computational Techniques for Boundary Layers. Chapman and Hall/CRC, Boca Raton (2000)zbMATHGoogle Scholar
  3. 3.
    Hughes, T., Engel, G., Mazzei, L., Larson, M.: J. Comp. Phys. 163, 467–488 (2000)zbMATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Kim, J.V., et al.: VLSI Technology, 2005. Digest of Technical Papers. 2005 Symposium on, pp. 34–35, June 2005Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Massimiliano Culpo
    • 1
    Email author
  • Carlo de Falco
    • 2
  • Eugene O’Riordan
    • 2
  1. 1.Bergische Universität WuppertalWuppertalGermany
  2. 2.Dublin City UniversityDublin 9Ireland

Personalised recommendations