On the solution of the Helmholtz equation on regions with corners

Kirill Serkh, Vladimir Rokhlin

Type: Article

Publication Date: 2016-08-01

Citations: 15

DOI: https://doi.org/10.1073/pnas.1609578113

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Proceedings of the National Academy of Sciences - View
PubMed Central - View
Europe PMC (PubMed Central) - View - PDF
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+	Characterization of the angular coefficient method on 2D and 3D piecewise smooth boundaries	2024	Matteo Calafà
+ PDF Chat	Singularity Swapping Method for Nearly Singular Integrals Based on Trapezoidal Rule	2024	Gang Bao Wenmao Hua Jun Lai Jinrui Zhang
+	A fast multiscale Galerkin method for solving a boundary integral equation in a domain with corners	2021	Xiangling Chen Ying Jiang
+ PDF Chat	On the Solution of the Stokes Equation on Regions with Corners	2020	Manas Rachh Kirill Serkh
+ PDF Chat	A robust solver for elliptic PDEs in 3D complex geometries	2021	Matthew J. Morse Abtin Rahimian Denis Zorin
+	On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains	2020	Jeremy G. Hoskins Manas Rachh
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Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	Inverse Acoustic and Electromagnetic Scattering Theory	2012	David Colton Rainer Kreß
+	Asymptotic development of the solution of Dirichlet’s problem at analytic corners	1957	Wolfgang Wasow
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard
+ PDF Chat	On a method to subtract off a singularity at a corner for the Dirichlet or Neumann problem	1969	Neil M. Wigley
+	Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains	1984	Gregory C. Verchota
+	Rapid solution of integral equations of classical potential theory	1985	Vladimir Rokhlin
+ PDF Chat	High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane	2013	Shifeng Hao Alex H. Barnett Per‐Gunnar Martinsson Porter Young
+	Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions	1996	Wei Ma Vladimir Rokhlin Stephen M. Wandzura
+ PDF Chat	On Interpolation and Integration in Finite-Dimensional Spaces of Bounded Functions	2005	Per‐Gunnar Martinsson Vladimir Rokhlin Mark Tygert
+	A Fast Direct Algorithm for the Solution of the Laplace Equation on Regions with Fractal Boundaries	1994	Peter W. Jones Jiaxing Ma Vladimir Rokhlin