Search results for: SINGULAR INTEGRALS

• New hybrid quadrature schemes for weakly singular kernels applied to isogeometric boundary elements for 3D Stokes flow

  Publication

  • M. Harmel
  • R. Sauer

  - ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS - Year 2023

  This work proposes four novel hybrid quadrature schemes for the efficient and accurate evaluation of weakly singular boundary integrals (1/r kernel) on arbitrary smooth surfaces. Such integrals appear in boundary element analysis for several partial differential equations including the Stokes equation for viscous flow and the Helmholtz equation for acoustics. The proposed quadrature schemes apply a Duffy transform-based quadrature...

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