Skip to main content
SpringerLink
Log in

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

  • Chapter
  • First Online:
Progress in Industrial Mathematics at ECMI 2008

Part of the book series: Mathematics in Industry ((TECMI,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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. de Falco, C., O’Riordan, E.: Dublin City University preprint 2008, MS-08-04.

    Google Scholar 

  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)

    MATH  Google Scholar 

  3. Hughes, T., Engel, G., Mazzei, L., Larson, M.: J. Comp. Phys. 163, 467–488 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  4. Kim, J.V., et al.: VLSI Technology, 2005. Digest of Technical Papers. 2005 Symposium on, pp. 34–35, June 2005

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bergische Universität Wuppertal, Gaußstr. 20, Wuppertal, Germany

    Massimiliano Culpo

  2. Dublin City University, Glasnevin, Dublin 9, Ireland

    Carlo de Falco & Eugene O’Riordan

Authors
  1. Massimiliano Culpo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Carlo de Falco
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Eugene O’Riordan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Massimiliano Culpo .

Editor information

Editors and Affiliations

  1. School of Mathematics, University of Southampton, Southampton, SO17 1BJ, United Kingdom

    Alistair D. Fitt

  2. Mathematical Institute, University of Oxford, St. Giles 24-29, Oxford, OX1 3LB, United Kingdom

    John Norbury

  3. Mathematical Institute, Ctr for Industrial & Applied Mathematics, University of Oxford, St. Giles 24-29, Oxford, OX1 3LB, United Kingdom

    Hilary Ockendon

  4. Dept. Engineering Mathematics, University of Bristol, University Walk, Bristol, BS8 1TR, United Kingdom

    Eddie Wilson

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Culpo, M., de Falco, C., O’Riordan, E. (2010). Patches of Finite Elements for Singularly-Perturbed Diffusion Reaction Equations with Discontinuous Coefficients. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_33

Download citation

Publish with us

Policies and ethics

Search

Navigation