Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems

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Sammanfattning

The incorporation of analytical kernel information is exploited in the construction of Nyström discretization schemes for integral equations modeling planar Helmholtz boundary value problems. Splittings of kernels and matrices, coarse and fine grids, high-order polynomial interpolation, product integration performed on the fly, and iterative solution are some of the numerical techniques used to seek rapid and stable convergence of computed fields in the entire computational domain.
Originalspråkengelska
Sidor (från-till)691-708
TidskriftAdvances in Computational Mathematics
Volym41
Nummer3
DOI
StatusPublished - 2015

Ämnesklassifikation (UKÄ)

  • Beräkningsmatematik

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