ME Lecture

Numerical integration techniques

Venue: July 21, 2022, 4:00 PM, MMCR, ME @ IISc
Speaker: Dr. Sukumar. N, Civil & Environmental Engineering, University of California, Davis


  • Introduce the homogeneous numerical integration (HNI) method for the numerical integration of homogeneous functions over polygons and polyhedra
  • Present the scaled boundary cubature (SBC) scheme to efficiently integrate polynomials, nonpolymial functions and weakly singular functions over polygons and polyhedra. For homogeneous functions, this approach reduces to HNI.
  • Apply SBC to numerically integrate smooth functions over 2D and 3D domains that are bounded by curves and surfaces, respectively.

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