A posteriori error estimation for finite element solutions of Helmholtz’ equation. part I: the quality of local indicators and estimators

DOI<3443::AID-NME221>3.0.CO;2-1 10.1002/(SICI)1097-0207(19970930)40:18<3443::AID-NME221>3.0.CO;2-1zbMath0974.76042OpenAlexW2150789707MaRDI QIDQ2755786

Frank Ihlenburg, S. K. Gangaraj, Theofanis Strouboulis, Ivo M. Babuška

Publication date: 12 November 2001

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19970930)40:18<3443::aid-nme221>3.0.co;2-1

zbMATH Keywords

finite element method acoustic scattering Helmholtz equation a posteriori error estimation pollution error one-dimensional model problem residual estimator smoothening Zienkiewicz-Zhu estimator

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

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