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Simple assessment of the numerical wave number in the fe solution of the helmholtz equation
dc.contributor.author | Steffens, Lindaura Maria |
dc.contributor.author | Díez, Pedro |
dc.date.accessioned | 2009-06-08T11:13:41Z |
dc.date.available | 2009-06-08T11:13:41Z |
dc.date.issued | 2009-06-08T11:13:41Z |
dc.identifier.uri | http://hdl.handle.net/2099/7819 |
dc.description.abstract | When numerical methods are applied to the computation of stationary waves, it is observed that "numerical waves" are dispersive for high wave numbers. The numerical wave shows a phase velocity which depends on the wave number "k" of the Helmholtz equation. Recent works on goal-oriented error estimation techniques with respect to socalled quantities of interest or output functionals are developing. Thus, taken into account such aspects, the main purpose of this paper is a posteriori error estimation through of a assessment of the numerical wave number in finite element solution fot he simulation of acoustic wave propagation problems adressed by Helmholtz equation. A method to measure the dispersion on classical Galerkin FEM is presented. In this analysis, the phase difference between the exact and numerical solutions is researched. Fundamental results from a priori error estimation for one-dimensional are presented and issues dealing with pollution error at high wave numbers also are discussed. |
dc.format.extent | 20 p. |
dc.language.iso | eng |
dc.relation.ispartof | NMASE 07 (6th:2007:Vall de Núria) |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials |
dc.subject.lcsh | Partial differential equations |
dc.subject.other | Helmholtz equation |
dc.subject.other | Wave number |
dc.subject.other | Dispersion and pollution effect |
dc.title | Simple assessment of the numerical wave number in the fe solution of the helmholtz equation |
dc.type | Conference report |
dc.subject.lemac | Equacions diferencials parcials |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type |
dc.rights.access | Open Access |