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20132026
most citedHarmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D

22 citations · 60 across the 19 of their papers we have counts for

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Showing 2017Show all

4 papers · 1 filter

math.NA2017★ 22 cited

Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D

Carlos Pérez-Arancibia, Luiz M. Faria, Catalin Turc

We present an effective harmonic density interpolation method for the numerical evaluation of singular and nearly singular Laplace boundary integral operators and layer potentials…

math.NA2017★ 3 cited

Domain Decomposition Methods based on quasi-optimal transmission operators for the solution of Helmholtz transmission problems

Yassine Boubendir, Carlos Jerez-Hanckes, Carlos Pérez-Arancibia +1

We present non-overlapping Domain Decomposition Methods (DDM) based on quasi-optimal transmission operators for the solution of Helmholtz transmission problems with piece-wise cons…

math.AP2017★ 11 cited

Three-dimensional quasi-periodic shifted Green function throughout the spectrum--including Wood anomalies

Oscar P. Bruno, Stephen P. Shipman, Catalin Turc +1

This work presents an efficient method for evaluation of wave scattering by doubly periodic diffraction gratings at or near "Wood anomaly frequencies". At these frequencies, one or…

math.NA2017★ 9 cited

Multitrace formulations and Domain Decomposition Methods for the solution of Helmholtz transmission problems for bounded composite scatterers

Carlos Jerez-Hanckes, Carlos Pérez-Arancibia, Catalin Turc

We present Nyström discretizations of multitrace formulations and non-overlapping Domain Decomposition Methods (DDM) for the solution of Helmholtz transmission problems for bounded…