Journal
ADVANCES IN COMPUTATIONAL MATHEMATICS
Volume 41, Issue 3, Pages 691-708Publisher
SPRINGER
DOI: 10.1007/s10444-014-9383-y
Keywords
Integral equation; Nystrom discretization; Helmholtz equation; Singular kernel; High-order quadrature
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Funding
- Swedish Research Council [621-2011-5516]
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The incorporation of analytical kernel information is exploited in the construction of Nystrom 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.
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