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Bridging Methods for Coupling Atomistic and Continuum Models

  • Santiago Badia
  • Pavel Bochev
  • Max Gunzburger
  • Richard Lehoucq
  • Michael Parks
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4818)

Abstract

We review some recent developments in the coupling of atomistic and continuum models based on the blending of the two models in a bridge region connecting the other two regions in which the models are separately applied. We define four such models and subject them to patch and consistency tests. We also discuss important implementation issues such as: the enforcement of displacement continuity constraints in the bridge region; and how one defines, in two and three dimensions, the blending function that is a basic ingredient in the methods.

Keywords

Atomistic to continuum coupling blended coupling molecular statics 

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Santiago Badia
    • 1
    • 2
  • Pavel Bochev
    • 1
  • Max Gunzburger
    • 3
  • Richard Lehoucq
    • 1
  • Michael Parks
    • 1
  1. 1.Sandia National LaboratoriesComputational Mathematics and AlgorithmsAlbuquerqueUSA
  2. 2.CIMNEUniversitat Politècnica de CatalunyaBarcelonaSpain
  3. 3.School of Computational ScienceFlorida State UniversityTallahasseeUSA

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