The first high-order kernel regularization is derived for the hypersingular Helmholtz operator in 3D, with a unified error analysis that balances regularization and quadrature errors by tying the smoothing parameter to mesh size.
P´ erez-Arancibia, L
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High-order kernel regularization of singular and hypersingular Helmholtz boundary integral operators
The first high-order kernel regularization is derived for the hypersingular Helmholtz operator in 3D, with a unified error analysis that balances regularization and quadrature errors by tying the smoothing parameter to mesh size.