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Engineering with Computers

, Volume 20, Issue 3, pp 273–285 | Cite as

Automatic p-version mesh generation for curved domains

  • Xiao-Juan LuoEmail author
  • Mark S. Shephard
  • Robert M. O’Bara
  • Rocco Nastasia
  • Mark W. Beall
Original article

Abstract

To achieve the exponential rates of convergence possible with the p-version finite element method requires properly constructed meshes. In the case of piecewise smooth domains, these meshes are characterized by having large curved elements over smooth portions of the domain and geometrically graded curved elements to isolate the edge and vertex singularities that are of interest. This paper presents a procedure under development for the automatic generation of such meshes for general three-dimensional domains defined in solid modeling systems. Two key steps in the procedure are the determination of the singular model edges and vertices, and the creation of geometrically graded elements around those entities. The other key step is the use of general curved element mesh modification procedures to correct any invalid elements created by the curving of mesh entities on the model boundary, which is required to ensure a properly geometric approximation of the domain. Example meshes are included to demonstrate the features of the procedure.

Keywords

p-version method Curved meshes Graded meshes 

Notes

Acknowledgements

This work was supported by the National Science Foundation through SBIR grant number DMI-0132742.

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Copyright information

© Springer-Verlag London Limited 2004

Authors and Affiliations

  • Xiao-Juan Luo
    • 1
    Email author
  • Mark S. Shephard
    • 1
  • Robert M. O’Bara
    • 2
  • Rocco Nastasia
    • 2
  • Mark W. Beall
    • 2
  1. 1.Scientific Computation Research CenterRensselaer Polytechnic InstituteTroyUSA
  2. 2.Simmetrix Inc.Clifton ParkUSA

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