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

ABSTRACT

• 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.