High order Nyström methods for transmission problems for Helmholtz equation
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Date
2016
Version
Acceso abierto / Sarbide irekia
Type
Capítulo de libro / Liburuen kapitulua
Version
Versión aceptada / Onetsi den bertsioa
Project Identifier
MINECO//MTM2014-52859-P/ES/ 
MICINN//MTM2011-22741/ES/
MINECO//MTM2014-54388-P/ES/
MICINN//MTM2011-22741/ES/
MINECO//MTM2014-54388-P/ES/
Impact
Abstract
We present super-algebraic compatible Nyström discretizations for the four Helmholtz boundary operators of Calderón’s calculus on smooth closed curves in 2D. These discretizations are based on appropriate splitting of the kernels combined with very accurate product-quadrature rules for the different singularities that such kernels present. A Fourier based analysis shows that the four discrete ope ...
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Subject
Helmholtz equation,
Transmission problems,
Helmholtz boundary,
Boundary integral operators,
Periodic pseudo-differential operators
Publisher
Springer
Published in
Ortegón Gallego, F., Redondo Neble, M. V., Rodríguez Galván, J. R. (Eds.) Trends in differential equations and applications. Cham: Springer, 2016, pp. 261-285. ISBN 978-3-319-32012-0. https://doi.org/10.1007/978-3-319-32013-7
Departament
Universidad Pública de Navarra. Departamento de Ingeniería Matemática e Informática /
Nafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Saila
Publisher version
Sponsorship
Catalin Turc gratefully acknowledge support from NSF through contract DMS-1312169. Víctor Domínguez is partially supported by Ministerio de Economía y Competitividad, through the grant MTM2014-52859.
This research was partially supported by Spanish MINECO grants MTM2011-22741 and MTM2014-54388.
