A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation

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Title:	A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation
Author:	Sarrate Ramos, Josep; Peraire Guitart, Jaume; Patera, A.
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
Abstract:	A Neumann subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, constant-free upper and lower bounds for non-linear outputs of the Helmholtz equation in two-dimensional exterior domains is presented. The bound procedure is firstly formulated, with particular emphasis on appropriate extension to complex-valued equations; then, illustrative numerical examples for outputs, such as the intensity of the scattered wave over a small segment of the domain boundary, are provided.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits -Helmholtz equation--Numerical solutions -FE error bounds -Helmholtz equation -non-linear outputs -Elements finits, Mètode dels
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Document type:	Article - Submitted version Article
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