Aposteriori error estimation for finite element solutions of Helmholtz' equation—Part II: estimation of the pollution error
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Publication:4385938
DOI<3883::AID-NME231>3.0.CO;2-V 10.1002/(SICI)1097-0207(19971115)40:21<3883::AID-NME231>3.0.CO;2-VzbMath0974.76043OpenAlexW1978549505MaRDI QIDQ4385938
S. K. Gangaraj, Frank Ihlenburg, Ivo M. Babuška, Theofanis Strouboulis
Publication date: 12 December 2001
Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19971115)40:21<3883::aid-nme231>3.0.co;2-v
finite element methodacoustic scatteringHelmholtz equationa posteriori error estimationpollution errorlarge wavenumber
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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Cites Work
- On accuracy conditions for the numerical computation of waves
- Pollution error in the \(h\)-version of the finite element method and the local quality of the recovered derivatives
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- Validation of a posteriori error estimators by numerical approach
- Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
- A posteriori estimation and adaptive control of the pollution error in the h‐version of the finite element method
